著書・論文一覧


福島 雅夫

・　著書

  1. 福島雅夫, 非線形最適化の理論, 産業図書, 1980年11月.
  2. 岡田憲夫, K.W. Hipel, N.M. Fraser, 福島雅夫, コンフリクトの数理, 現代数学社, 1988年10月.
  3. 茨木俊秀, 福島雅夫, FORTRAN77 最適化プログラミング, 岩波書店, 1991年4月.
  4. 茨木俊秀, 福島雅夫, 最適化の手法, 共立出版, 1993年7月. [中国語版: 最優化方法, 曽道智 (訳), 中国図書出版公司, 北京, 1997]
  5. 福島雅夫, 数理計画入門, 朝倉書店, 1996年9月.
  6. 山川栄樹, 福島雅夫, 数理計画における並列計算, 朝倉書店, 2001年1月.
  7. 福島雅夫, 非線形最適化の基礎, 朝倉書店, 2001年 4月. [中国語版: 非線性最優化基礎, 林貴華 (訳), 科学出版社, 北京, 2011].
  8. 山下信雄, 福島雅夫, 数理計画法, コロナ社, 2008年5月.
  9. 福島雅夫, 新版・数理計画入門, 朝倉書店, 2011年2月.

・　著書（分担執筆）

  1. 福島雅夫, 現代ＯＲ入門, 第７章「非線形計画法」, 西田俊夫, 田畑吉雄 (編), 現代数学社, 1995年3月.
  2. 福島雅夫, 離散構造とアルゴリズム VI, 第５章 「均衡制約をもつ数理計画問題 (ＭＰＥＣ)」, 藤重悟 (編), 近代科学社, 1999年7月.
  3. 福島雅夫, 数理工学のすすめ, 第１章, 第７節「最適化は問題解決のキーワード」, 京都大学工学部情報学科数理工学コース (編), 現代数学社, 2000年2月（改訂版：2005年1月）.

・　編書

  1. M. Fukushima and L. Qi, eds., Reformulation -- Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, Kluwer Academic Publishers, Boston, 1998.
  2. M. Fukushima and T. Tsuchiya, eds., Festschrift in honor of Professor Masao Iri's 65th birthday, Optimization Methods and Software, Vol. 10, No.2, December 1998.
  3. T. Ibaraki, M. Fukushima, A. Tamura and Y. Yamamoto, eds., Special Issue on New Trends in Mathematical Programming, Journal of the Operations Research Society of Japan, Vol. 43, No. 1, March 2000.
  4. M. Fukushima and L. Qi, eds., Special Issue on Nonsmooth and Smoothing Methods, Computational Optimization and Applications, Vol. 17, Nos. 2/3, December 2000.
  5. M. Fukushima and Y.X. Yuan, eds., Special Issue on the Second Japanese-Sino Optimization Meeting, September 25--27, 2002, Kyoto Japan, Optimization Methods and Software, Vol. 18, Nos. 2/3, April/August 2003.
  6. M. Fukushima and L. Qi, eds., Special Issue on the 6th International Conference on Optimization: Techniques and Applications, Computational Optimization and Applications, Vol. 35, No. 1, September 2006.
  7. M. Fukushima and S.Y. Wang, eds., Special Issue on Optimization and Control Applications, Optimization and Engineering, Vol. 8, No. 3, September 2007.
  8. M. Fukushima, M. Gaudioso, F. Giannessi and D. Pallaschke, Special Issue dedicated to Professor Vladimir F. Demyanov on the occasion of his 70 th birthday, Optimization Methods and Software, Vol. 25, No. 1, February 2010.
  9. X. Chen and M. Fukushima, eds., Special Issue dedicated Professor Liqun Qi on the occasion of his 65th birthday Computational Optimization and Applications, Vol. 50, No. 2, October 2011.
  10. 太田快人, 酒井英昭, 高橋豊, 田中利幸, 永持仁, 福島雅夫 (編), 数理工学事典, 朝倉書店, 2011.

・　辞典・ハンドブック等（分担執筆）

  1. 電子情報通信ハンドブック, 電子情報通信学会, オーム社, 1988年3月 (分担執筆).
  2. 岩波情報科学辞典, 岩波書店, 1990年5月 (分担執筆).
  3. アルゴリズム辞典, 共立出版, 1994年9月 (分担執筆).
  4. 新版情報処理ハンドブック, 情報処理学会編, オーム社, 1995年11月 (分担執筆).
  5. ソフトコンピューティング用語集, 朝倉書店, 1996年5月 (分担執筆).
  6. OR 事典 2000, 日本オペレーションズ・リサーチ学会編, 日科技連出版社, 2000年5月 (分担執筆).
  7. 最適設計ハンドブック, 朝倉書店, 2003年2月 (分担執筆).
  8. 岩波数学辞典第4版, 岩波書店, 2007年3月 (分担執筆).
  9. 数理科学事典第2版, 丸善, 2009年12月（分担執筆）.
  10. 朝倉・数学ハンドブック・応用編，朝倉書店，2011年8月 (分担執筆).

・　研究論文 (査読付雑誌・図書など)

  1. H. Mine, K. Ohno and M. Fukushima, Multilevel decomposition of nonlinear programming problems by dynamic programming, Journal of Mathematical Analysis and Applications 53 (1976), pp. 7-27.
  2. H. Mine, K. Ohno and M. Fukushima, Decomposition of nonlinear chance-constrained programming problems by dynamic programming, Journal of Mathematical Analysis and Applications 56 (1976), pp. 211-222.
  3. H. Mine, K. Ohno and M. Fukushima, A "conjugate" interior penalty method for certain convex programs, SIAM Journal on Control and Optimization 15 (1977), pp. 747-755.
  4. H. Mine and M. Fukushima, Penalty function theory for general convex programming problems, Journal of Optimization Theory and Applications 24 (1978), pp. 287-301.
  5. H. Mine and M. Fukushima, Application of Fenchel's duality theorem to penalty methods in convex programming, Memoirs of the Faculty of Engineering, Kyoto University 40 (1978), pp. 30-39.
  6. H. Mine, M. Fukushima and Y. Fujii, A dual approach to the generalized multifacility location problems with arbitrary norms, Proceedings of the International Conference on Cybernetics and Society , Tokyo , November 1978, pp. 678-683.
  7. H. Mine, M. Fukushima and Y.J. Ryang, Parametric nonlinear programming for general cases and its application to some problems, Memoirs of the Faculty of Engineering, Kyoto University 40 (1978), pp. 198-211
  8. H. Mine, M. Fukushima and N. Navarrete, Jr., A new method of ranking: The relative position ranking, Memoirs of the Faculty of Engineering, Kyoto University 41 (1979), pp. 109-115.
  9. H. Mine and M. Fukushima, Decomposition of multiple criteria mathematical programming problems by dynamic programming, International Journal of Systems Science 10 (1979), pp. 557-566.
  10. N. Navarrete, Jr., M. Fukushima and H. Mine, A new ranking method based on relative position estimate and its extensions, IEEE Transactions on Systems, Man and Cybernetics SMC-9 (1979), pp. 681-689.
  11. H. Mine, M. Fukushima and Y.J. Ryang, On solving a certain multi-parametric nonlinear programming problems, Memoirs of the Faculty of Engineering, Kyoto University (1980), pp. 404-412.
  12. N. Navarrete, Jr., M. Fukushima and H. Mine, A qualitative multicriteria ranking method for project selection, Proceedings of the International Conference on Industrial System Engineering and Management in Developing Countries , Bangkok , November 1980, pp. 481-493.
  13. H. Mine, M. Fukushima and N. Navarrete, Jr., A fuzzy preference model in decision making, Memoirs of the Faculty of Engineering, Kyoto University 43 (1981), pp. 145-158.
  14. H. Mine and M. Fukushima, A minimization method for the sum of a convex function and a continuously differentiable function, Journal of Optimization Theory and Applications 33 (1981), pp. 9-23.
  15. H. Mine, M. Fukushima and Y.J. Ryang, Methods of parametric non-linear programming, International Journal of Systems Science 12 (1981), pp. 95-110.
  16. M. Fukushima and H. Mine, A generalized proximal point algorithm for certain nonconvex minimization problems, International Journal of Systems Science 12 (1981), pp. 989-1000.
  17. M. Fukushima, A finitely convergent algorithm for convex inequalities, IEEE Transactions on Automatic Control AC-27 (1982), pp. 1126-1127.
  18. M. Fukushima, Y. Morinaga and H. Mine, A heuristic decomposition approach to optimal control in a water supply model, European Journal of Operational Research 11 (1982), pp. 338-348.
  19. M. Fukushima, An outer approximation algorithm for solving general convex programs, Operations Research 31 (1983), pp. 101-113.
  20. H. Mine, M. Fukushima, K. Ishikawa and I. Sawa, An algorithm for the assignment problem with stochastic side constraints, Memoirs of the Faculty of Engineering, Kyoto University 45 (1983), pp. 26-35.
  21. M. Fukushima, A fixed point approach to certain convex programs with applications in stochastic programming, Mathematics of Operations Research 8 (1983), pp. 517-524.
  22. M. Fukushima, On the convergence of a class of outer approximation algorithms for convex programs, Journal of Computational and Applied Mathematics 10 (1984), pp. 147-156.
  23. N. Sagara and M. Fukushima, A continuation method for solving separable nonlinear least squares problems, Journal of Computational and Applied Mathematics 10 (1984), pp. 157-161.
  24. M. Fukushima, A modified Frank-Wolfe algorithm for solving the traffic assignment problem, Transportation Research 18B (1984), pp. 169-177.
  25. M. Fukushima, On the dual approach to the traffic assignment problem, Transportation Research 18B (1984), pp. 235-245.
  26. M. Fukushima, A nonsmooth optimization approach to nonlinear multicommodity network flow problems, Journal of the Operations Research Society of Japan 27 (1984), pp. 151-176.
  27. M. Fukushima, A descent algorithm for nonsmooth convex optimization, Mathematical Programming 30 (1984), pp. 163-175.
  28. H. Mine, M. Fukushima and Y. Tanaka, On the use of $\epsilon$-most-active constraints in an exact penalty function method for nonlinear optimization, IEEE Transactions on Automatic Control AC-29 (1984), pp. 1040-1042.
  29. M. Fukushima, On the generalized variational inequalities, Proceedings of the International Seminar on Operations Research and Systems , Kyoto, November 1985, pp. 35-50.
  30. M. Fukushima, E. Yamakawa and H. Mine, On dual differentiable exact penalty functions for equality constrained optimization, Journal of the Operations Research Society of Japan 28 (1985), pp. 302-316.
  31. M. Fukushima, A relaxed projection method for variational inequalities, Mathematical Programming 35 (1986), pp. 58-70.
  32. M. Fukushima and Y. Yamamoto, A second-order algorithm for continuous-time nonlinear optimal control problems, IEEE Transactions on Automatic Control AC-31 (1986), pp. 673-676.
  33. M. Fukushima, A successive quadratic programming algorithm with global and superlinear convergence properties, Mathematical Programming 35 (1986), pp. 253-264.
  34. N. Sagara and M. Fukushima, A new predictor-corrector method for solving unconstrained minimization problems, Journal of Computational and Applied Mathematics 16 (1986), pp. 343-354.
  35. S. Hashizume, M. Fukushima, N. Katoh and T. Ibaraki, Approximation algorithms for combinatorial fractional programming problems, Mathematical Programming 37 (1987), pp. 255-267.
  36. Y. Tanaka, M. Fukushima and T. Hasegawa, An implementable $L_\infty$ penalty function method for semi-infinite optimization, International Journal of Systems Science 18 (1987), pp. 1563-1568.
  37. M. Fukushima and T. Itoh, A dual approach to asymmetric traffic equilibrium problems, Mathematica Japonica 32 (1987), pp. 701-721.
  38. N. Sagara and M. Fukushima, An efficient predictor-corrector method for solving nonlinear equations, Journal of Computational and Applied Mathematics 19 (1987), pp. 343-349.
  39. 福島雅夫, 新井直子, 茨木俊秀, 非線形最小費用流問題に対する内点法, システムと制御, 31 (1987), pp. 837-843.
  40. T. Itoh, M. Fukushima and T. Ibaraki, An iterative method for variational inequalities with application to traffic equilibrium problems, Journal of the Operations Research Society of Japan 31 (1988), pp. 82-103.
  41. Y. Tanaka, M. Fukushima and T. Ibaraki, A comparative study of several semi-infinite nonlinear programming algorithms, European Journal of Operational Research 36 (1988), pp. 92-100.
  42. Y. Tanaka, M. Fukushima and T. Ibaraki, A globally convergent SQP method for semi-infinite nonlinear optimization, Journal of Computational and Applied Mathematics 23 (1988), pp. 141-153.
  43. M. Fukushima, Solving inequality constrained optimization problems by differential homotopy continuation methods, Journal of Mathematical Analysis and Applications 133 (1988), pp. 109-121.
  44. 福島雅夫, 桂龍司, 茨木俊秀, 最小木更新アルゴリズムについて, 電子情報通信学会論文誌, J71-A (1988), pp. 1979-1982.
  45. R. Katsura, M. Fukushima and T. Ibaraki, Interior methods for nonlinear minimum cost network flow problems, Journal of the Operations Research Society of Japan 32 (1989), pp. 174-199.
  46. E. Yamakawa, M. Fukushima and T. Ibaraki, An efficient trust region algorithm for minimizing nondifferentiable composite functions, SIAM Journal on Scientific and Statistical Computing 10 (1989), pp. 562-580.
  47. Y. Tanaka, M. Fukushima and T. Ibaraki, On generalized pseudoconvex functions, Journal of Mathematical Analysis and Applications 144 (1989), pp. 342-355.
  48. H. Nagamochi, M. Fukushima and T. Ibaraki, Relaxation methods for the strictly convex multicommodity flow problem with capacity constraints on individual commodities, Networks 20 (1990), pp. 409-426.
  49. M. Fukushima, A conjugate gradient algorithm for sparse linear inequalities, Journal of Computational and Applied Mathematics 30 (1990), pp. 329-339.
  50. M. Fukushima, A successive quadratic programming method for a class of constrained nonsmooth optimization problems, Mathematical Programming 49 (1991), pp. 231-251.
  51. N. Sagara and M. Fukushima, A hybrid method for nonlinear least squares problem with simple bounds, Journal of Computational and Applied Mathematics 36 (1991), pp. 149-157.
  52. 若原達朗, 福島雅夫, 茨木俊秀, 大規模非線形計画問題に対する逐次二次 計画分解法, システム制御情報学会論文誌, 4 (1991), pp. 473-480.
  53. S. Ibaraki, M. Fukushima and T. Ibaraki, Dual-based Newton methods for nonlinear minimum cost network flow problems, Journal of the Operations Research Society of Japan 34 (1991), pp. 263-286.
  54. M. Fukushima, Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems, Mathematical Programming 53 (1992), pp. 99-110.
  55. M. Fukushima, K. Takazawa, S. Ohsaki and T. Ibaraki, Successive linearization methods for large-scale nonlinear programming problems, Japan Journal of Industrial and Applied Mathematics 9 (1992), pp. 117-132.
  56. 辻野雅之, 福島雅夫, 茨木俊秀, 動的交通流配分のネットワーク・モデル, システム制御情報学会論文誌, 5 (1992), pp. 257-264.
  57. M. Fukushima, Application of the alternating direction method of multipliers to separable convex programming problems, Computational Optimization and Applications 1 (1992), pp. 93-111.
  58. S. Ibaraki , M. Fukushima and T. Ibaraki, Primal-dual proximal point algorithm for linearly constrained convex programming problems, Computational Optimization and Applications 1 (1992), pp. 207-226.
  59. K. Taji, M. Fukushima and T. Ibaraki, A globally convergent Newton method for solving strongly monotone variational inequalities, Mathematical Programming 58 (1993), pp. 369-383.
  60. T. Wakahara, M. Fukushima and T. Ibaraki, A practical approach to decomposable nonlinear programming problems, Journal of the Operations Research Society of Japan 36 (1993), pp. 1-12.
  61. Y. Shimazu, M. Fukushima and T. Ibaraki, A successive over-relaxation method for quadratic programming problems with interval constraints, Journal of the Operations Research Society of Japan 36 (1993), pp. 73-89.
  62. J. Eckstein and M. Fukushima, Some reformulations and applications of the alternating direction method of multipliers, Large Scale Optimization: State of the Art, W.W. Hager, D.W. Hearn and P.M. Pardalos (eds.), Kluwer Academic Publishers B.V., 1994, pp. 115-134.
  63. M. Tsujino, M. Fukushima and T. Ibaraki, A model of time-varying flow on a congested multidestination network, Asia-Pacific Journal of Operational Research 11 (1994), pp. 141-153.
  64. S. Ibaraki and M. Fukushima, Primal-dual proximal point algorithm for multicommodity network flow problems, Journal of the Operations Research Society of Japan 37 (1994), pp. 297-309.
  65. K. Taji and M. Fukushima, Optimization based globally convergent method for the nonlinear complementarity problems, Journal of the Operations Research Society of Japan 37 (1994), pp. 310-331.
  66. K. Iwaoka, M. Fukushima and T. Ibaraki, A primal-dual proximal point algorithm for variational inequality problems, Variational Inequalities and Network Equilibrium Problems , F. Giannessi and A. Maugeri (eds.), Plenum Press, 1995, pp. 143-153.
  67. 巽啓司, 福島雅夫, 逐次射影法としての誤差逆伝播法, システム制御情報学会論文誌 8 (1995), pp. 204-211.
  68. N. Sagara and M. Fukushima, A hybrid method for solving the nonlinear least squares problem with linear inequality constraints, Journal of the Operations Research Society of Japan 38 (1995), pp. 55-69.
  69. N. Yamashita and M. Fukushima, On stationary points of the implicit Lagrangian for nonlinear complementarity problems, Journal of Optimization Theory and Applications 84 (1995), pp. 653-663.
  70. K. Taji and M. Fukushima, A globally convergent Newton method for solving variational inequality problems with inequality constraints, Recent Advances in Nonsmooth Optimization , D.-Z. Du, L. Qi and R. Womersley (eds.), World Scientific Publishers, pp. 405-417, 1995.
  71. T. Sugimoto, M. Fukushima and T. Ibaraki, A parallel relaxation method for quadratic programming problems with interval constraints, Journal of Computational and Applied Mathematics 60 (1995), pp. 219-236.
  72. N. Machida , M. Fukushima and T. Ibaraki, A multisplitting method for symmetric linear complementarity problems, Journal of Computational and Applied Mathematics 62 (1995), pp. 217-227.
  73. M. Fukushima, M. Haddou, V.H. Nguyen, J.-J. Strodiot, T. Sugimoto and E. Yamakawa , A parallel descent algorithm for convex programming, Computational Optimization and Applications 5 (1996), pp. 5-37.
  74. M. Fukushima, The primal Douglas-Rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem, Mathematical Programming 72 (1996), pp. 1-15.
  75. S. Ibaraki and M. Fukushima, Partial proximal method of multipliers for convex programming problems, Journal of the Operations Research Society of Japan 39 (1996), pp. 213-229.
  76. P. Tseng, N. Yamashita and M. Fukushima, Equivalence of complementarity problems to differentiable minimization: A unified approach, SIAM Journal on Optimization 6 (1996), pp. 446-460.
  77. M. Fukushima, Merit functions for variational inequality and complementarity problems, Nonlinear Optimization and Applications , G. Di Pillo and F. Giannessi (eds.), Plenum Press, 1996, pp. 155-170.
  78. E. Yamakawa and M. Fukushima, A block-parallel conjugate gradient method for separable quadratic programming problems, Journal of the Operations Research Society of Japan 39 (1996), pp. 407-427.
  79. K. Taji and M. Fukushima, A new merit function and a successive quadratic programming algorithm for variational inequality problems, SIAM Journal on Optimization 6 (1996), pp. 704-713.
  80. C. Kanzow and M. Fukushima, Equivalence of the generalized complementarity problem to differentiable unconstrained minimization, Journal of Optimization Theory and Applications 90 (1996), pp. 581-603.
  81. M. Fukushima and L. Qi, A globally and superlinearly convergent algorithm for nonsmooth convex minimization, SIAM Journal on Optimization 6 (1996), pp. 1106-1120.
  82. 山川栄樹, 松原康博, 福島雅夫, ２次コスト多品種流問題に対する並列型主双対内点法, Journal of the Operations Research Society of Japan 39 (1996), pp. 566-591.
  83. K. Tatsumi and M. Fukushima, A successive projection method for binary pattern recognition with multilayer feedforward neural networks, International Journal of Systems Science 27 (1996), pp. 917-923.
  84. N. Yamashita and M. Fukushima, Modified Newton methods for solving a semismooth reformulation of monotone complementarity problems, Mathematical Programming (Series B) 76 (1997), pp. 469-491.
  85. N. Yamashita and M. Fukushima, Equivalent unconstrained minimization and global error bounds for variational inequality problems, SIAM Journal on Control and Optimization 35 (1997), pp. 273-284.
  86. M. Fukushima and J.-S. Pang, Minimizing and stationary sequences of merit functions for complementarity problems and variational inequalities, Complementarity and Variational Problems: State of the Art, M.C. Ferris and J.-S. Pang (eds.), SIAM , Philadelphia , 1997, pp. 91-104.
  87. D. Sun, M. Fukushima and L. Qi, A computable generalized Hessian of the D-gap function and Newton-type methods for variational inequality problems, Complementarity and Variational Problems: State of the Art, M.C. Ferris and J.-S. Pang (eds.), SIAM , Philadelphia , 1997, pp. 452-472.
  88. N. Yamashita, K. Taji and M. Fukushima, Unconstrained optimization reformulations of variational inequality problems, Journal of Optimization Theory and Applications 92 (1997), pp. 439-456.
  89. 山川栄樹, 牧英一, 福島雅夫, 分離可能な2次計画問題に対する非同期型ブロック並列アルゴリズム, システム制御情報学会論文誌 10 (1997), pp. 248-258.
  90. C. Kanzow, N. Yamashita and M. Fukushima, New NCP-functions and their properties, Journal of Optimization Theory and Applications 94 (1997), pp. 115-135.
  91. 巽啓司, 福島雅夫, 階層型ニューラルネットワークに対する逐次射影法の改良, システム制御情報学会論文誌 11 (1998), pp. 77-85.
  92. H. Jiang, M. Fukushima, L. Qi and D. Sun, A trust region method for solving generalized complementarity problems, SIAM Journal on Optimization 8 (1998), pp. 140-157.
  93. M. Fukushima, Z.-Q. Luo and J.-S. Pang, A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints, Computational Optimization and Applications 10 (1998), pp. 5-34.
  94. M. Okada, K. Taji and M. Fukushima, Probabilistic analysis of 2-opt for travelling salesman problems, International Journal of Systems Science 29 (1998), pp. 297-310.
  95. 向井くみこ, 巽啓司, 福島雅夫, 二次コスト 0-1 混合整数計画問題に対する近似解法, 電子情報通信学会論文誌 J81-A (1998), pp. 649-657.
  96. M. Fukushima, Parallel variable transformation in unconstrained optimization, SIAM Journal on Optimization 8 (1998), pp. 658-672.
  97. M. Fukushima and J.-S. Pang, Some feasibility issues in mathematical programs with equilibrium constraints, SIAM Journal on Optimization 8 (1998), pp. 673-681.
  98. C. Kanzow and M. Fukushima, Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities, Mathematical Programming 83 (1998), pp. 55-87.
  99. N. Yamashita and M. Fukushima, A new merit function and a descent method for semidefinite complementarity problems, Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima and L. Qi (eds.), Kluwer Academic Publishers B.V., 1998, pp. 405-420.
  100. C. Kanzow and M. Fukushima, Solving box constrained variational inequalities by using the natural residual with D-gap function globalization, Operations Research Letters 23 (1998), pp. 45-51.
  101. D. Li and M. Fukushima, A derivative-free line search and DFP method for symmetric equations with global and superlinear convergence, Numerical Functional Analysis and Optimization 20 (1999), pp. 59-77.
  102. 山川栄樹, 福島雅夫, 2次輸送問題に対する交互方向乗数法のベクトル並列計算機における実行, システム制御情報学会論文誌 12 (1999), pp. 313-315.
  103. J.-S. Pang and M. Fukushima, Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints, Computational Optimization and Applications 13 (1999), pp. 111-136.
  104. E. Yamakawa and M. Fukushima, Testing parallel variable transformation, Computational Optimization and Applications 13 (1999), pp. 253-274.
  105. J.M. Peng, C. Kanzow and M. Fukushima, A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function, Optimization Methods and Software 10 (1999), pp. 687-710.
  106. X. Chen and M. Fukushima, Proximal quasi-Newton methods for nondifferentiable convex optimization, Mathematical Programming 85 (1999), pp. 313-334.
  107. M. Shibata, N. Yamashita and M. Fukushima, The extended semidefinite linear complementarity problem: A reformulation approach, Nonlinear Analysis and Convex Analysis, W. Takahashi and T. Tanaka (eds.), World Scientific, Singapore , 1999, pp. 326-332.
  108. M. Fukushima and J.-S. Pang, Convergence of a smoothing continuation method for mathematical programs with complementarity constraints, Ill-Posed Variational Problems and Regularization Techniques, Lecture Notes in Economics and Mathematical Systems,Vol. 477, M. Thera and R. Tichatschke (eds.), Springer-Verlag, Berlin/Heidelberg, 1999, pp. 99-110.
  109. J.M. Peng and M. Fukushima, A hybrid Newton method for solving the variational inequality problem via the D-gap function, Mathematical Programming 86 (1999), pp. 367-386.
  110. D. Li and M. Fukushima, A globally and superlinearly convergent Gauss-Newton based BFGS method for symmetric nonlinear equations, SIAM Journal on Numerical Analysis 35 (1999), pp. 152-172.
  111. A.I. Rauf and M. Fukushima, A globally convergent BFGS method for nonsmooth convex optimization, Journal of Optimization Theory and Applications. 104 (2000), pp. 539-558.
  112. K. Yamada, N. Yamashita and M. Fukushima, A new derivative-free descent method for the nonlinear complementarity problem, Nonlinear Optimization and Related Topics, G. Di Pillo and F. Giannessi, eds., Kluwer Academic Publishers, 2000, pp. 463-487.
  113. D. Li and M. Fukushima, A derivative-free line search and global convergence of Broyden-like method for nonlinear equations, Optimization Methods and Software 13 (2000), pp. 181-201.
  114. M. Kyono and M. Fukushima, Nonlinear proximal decomposition method for convex programming, Journal of Optimization Theory and Applications 106 (2000), pp. 357-372.
  115. D. Li and M. Fukushima, Smoothing Newton and quasi-Newton methods for mixed complementarity problems, Computational Optimization and Applications 17 (2000), pp. 203-230.
  116. N. Yamashita, J. Imai and M. Fukushima, The proximal point algorithm for the P_0 complementarity problem, Complementarity: Applications, Algorithms and Extensions, M.C. Ferris, O.L. Mangasarian and J.-S. Pang (eds.), Kluwer Academic Publishers, 2001, pp. 361-379.
  117. N. Yamashita and M. Fukushima, The proximal point algorithm with genuine superlinear convergence for the monotone complementarity problem, SIAM Journal on Optimization 11 (2001), pp. 364-379.
  118. D. Li and M. Fukushima, A modified BFGS method and its global convergence in nonconvex minimization, Journal of Computational and Applied Mathematics 129 (2001), pp. 15-35.
  119. D. Li and M. Fukushima, On the global convergence of BFGS method for nonconvex unconstrained optimization problems, SIAM Journal on Optimization 11 (2001), pp. 1054-1064.
  120. D. Li, N. Yamashita and M. Fukushima, Nonsmooth equation based BFGS method for solving KKT systems in mathematical programming, Journal of Optimization Theory and Applications 109 (2001), pp. 123-167.
  121. J.P. Zeng, D. Li and M. Fukushima, Weighted max-norm estimate of additive Schwarz iteration scheme for solving linear complementarity problems, Journal of Computational and Applied Mathematics 131 (2001), pp. 1-14.
  122. N. Yamashita, C. Kanzow, T. Morimoto and M. Fukushima, An infeasible interior proximal method convex programming problems with linear constraints, Journal of Nonlinear and Convex Analysis 2 (2001), pp. 139-156.
  123. N. Yamashita and M. Fukushima, On the rate of convergence of the Levenberg-Marquardt method, Computing [Suppl] 15 (2001), pp. 239-249.
  124. M. Fukushima, Z.-Q. Luo and P. Tseng, Smoothing functions for second-order-cone complementarity problems, SIAM Journal on Optimization 12 (2001), pp. 436-460.
  125. M. Sasaki and M. Fukushima, Stackelberg hub location problem, Journal of the Operations Research Society of Japan 44 (2001), pp. 390-402.
  126. D. Li and M. Fukushima, Globally convergent Broyden-like methods for semismooth equations and applications to VIP, NCP and MCP, Annals of Operations Research 102 (2001), pp. 71-97.
  127. M. Fukushima and P. Tseng, An implementable active-set algorithm for computing a B-stationary point of the mathematical program with linear complementarity constraints, SIAM Journal on Optimization 12 (2002), pp. 724-739, [Erratum: ibid. 17 (2007), pp. 1253-1257.].
  128. 江本源一, 福島雅夫, プロセス産業における時系列最適化のための逐次２次計画分解法, システム制御情報学会論文誌 15 (2002), pp. 34-40.
  129. K. Tatsumi, T. Tanino and M. Fukushima, Global convergence property of error back-propagation method for recurrent neural networks, Operations Research/ Management Science at Work, E. Kozan and A. Ohuchi (eds.), Kluwer Academic Publishers, 2002, pp. 227-242.
  130. H. Dan, N. Yamashita and M. Fukushima, Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions, Optimization Methods and Software 17 (2002), pp. 605-626.
  131. A.-R. Hedar and M. Fukushima, Hybrid simulated annealing and direct search method for nonlinear global optimization, Optimization Methods and Software 17 (2002), pp. 891-912.
  132. H. Dan, N. Yamashita and M. Fukushima, A superlinearly convergent algorithm for the monotone complementarity problem without uniqueness and nondegeneracy conditions, Mathematics of Operations Research 27 (2002), pp. 743-753.
  133. A.-R. Hedar and M. Fukushima, Simplex coding genetic algorithm for the global optimization of nonlinear functions, Multi-Objective Programming and Goal Programming, T. Tanino, T. Tanaka and M. Inuiguchi, eds., Springer-Verlag, Berlin-Heidelberg, 2003, pp. 135-140.
  134. R.S. Bipasha, K. Yamada, N. Yamashita and M. Fukushima, A linearly convergent descent method for strongly monotone variational inequality problems, Journal of Nonlinear and Convex Analysis 4 (2003), pp. 15-23.
  135. G.H. Lin and M. Fukushima, Some exact penalty results for nonlinear programs and their applications to mathematical programs with equilibrium constraints, Journal of Optimization Theory and Applications 118 (2003), pp. 67-80.
  136. G.H. Lin and M. Fukushima, New relaxation method for mathematical programs with complementarity constraints, Journal of Optimization Theory and Applications 118 (2003), pp. 81-116.
  137. M. Fukushima, Z.-Q. Luo and P. Tseng, A sequential quadratically constrained quadratic programming method for differentiable convex minimization, SIAM Journal on Optimization 13 (2003), pp. 1098-1119.
  138. H. Moriyama, N. Yamashita and M. Fukushima, The incremental Gauss-Newton algorithm with adaptive  stepsize rule, Computational Optimization and Applications 26 (2003), pp. 107-141.
  139. M. Sasaki and M. Fukushima, On the hub-and-spoke model with arc capacity constraints, Journal of the Operations Research Society of Japan 46 (2003), pp. 409-428.
  140. A.-R. Hedar and M. Fukushima, Minimizing multimodal functions by simplex coding genetic algorithm, Optimization Methods and Software 18 (2003), pp. 265-282.
  141. X. Chen and M. Fukushima, A smoothing method for a mathematical program with P-matrix linear complementarity constraints, Computational Optimization and Applications 27 (2004), pp. 223-246.
  142. N. Yamashita, H. Dan and M. Fukushima, On the identification of degenerate indices in the nonlinear complementarity problem with the proximal point algorithm, Mathematical Programming 99 (2004), pp. 377-397.
  143. D.H. Li, M. Fukushima, L. Qi and N. Yamashita, Regularized Newton methods for convex minimization problems with singular solutions, Computational Optimization and Applications 28 (2004), pp. 131-147.
  144. 熊野信太郎，川瀬直人，富永公彦，福島雅夫, 運用制約条件下での複数プラントの最適保守計画, システム制御情報学会論文誌 17 (2004), pp. 390-400．
  145. C. Kanzow, N. Yamashita and M. Fukushima, Levenberg-Marquardt methods for constrained nonlinear equations with strong local convergence properties, Journal of Computational and Applied Mathematics 172 (2004), pp. 375-397.
  146. A.-R. Hedar and M. Fukushima, Heuristic pattern search and its hybridization with simulated annealing for nonlinear global optimization, Optimization Methods and Software 19 (2004), pp. 291-308.
  147. G.H. Lin and M. Fukushima, A modified relaxation scheme for mathematical programs with complementarity constraints, Annals of Operations Research 133 (2005), pp. 63-84.
  148. J.-S. Pang and M. Fukushima, Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games, Computational Management Science 2 (2005), pp. 21-56 [Erratum: ibid. 6 (2009), pp. 373-375.].
  149. S. Hayashi, T. Yamaguchi, N. Yamashita and M. Fukushima, A matrix splitting method for symmetric affine second-order cone complementarity problems, Journal of Computational and Applied Mathematics 175 (2005), pp. 335-353.
  150. G.H. Lin and M. Fukushima, A class of stochastic mathematical programs with complementarity constraints: Reformulations and algorithms, Journal of Industrial and Management Optimization 1 (2005), pp. 99-122.
  151. N. Sagara and M. Fukushima, A trust region method for nonsmooth convex optimization, Journal of Industrial and Management Optimization 1 (2005), pp. 171-180.
  152. C. Ling, X. Chen, M. Fukushima and L. Qi, A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems, Pacific Journal of Optimization 1 (2005), pp. 127-145.
  153. G.H. Lin and M. Fukushima, Regularization method for stochastic mathematical programs with complementarity constraints, European Series of Applied and Industrial Mathematics (ESAIM):  Control, Optimization and the Calculus of Variations (COCV). 11 (2005), pp. 252-265.
  154. S. Hayashi, N. Yamashita and M. Fukushima, A combined smoothing and regularization method for monotone second-order cone complementarity problems, SIAM Journal on Optimization 15 (2005), pp. 593-615.
  155. C. Kanzow, C. Nagel, H. Kato and M. Fukushima, Successive linearization methods for nonlinear semidefinite programs, Computational Optimization and Applications 31 (2005), pp. 251-273.
  156. 熊野信太郎，溝口正信，滝根哲哉，福島雅夫, 空港施設運用における効率とセキュリティの最適化, システム制御情報学会論文誌 18 (2005), pp. 146-155．
  157. S. Hayashi, N. Yamashita and M. Fukushima, Robust Nash equilibria and second-order cone complementarity problems, Journal of Nonlinear and Convex Analysis 6 (2005), pp. 283-296.
  158. N. Yamashita and M. Fukushima, On the level-boundedness of the natural residual function for variational inequality problems, Pacific Journal of Optimization 1 (2005), pp. 625-630.
  159. X. Chen and M. Fukushima, Expected residual minimization method for stochastic linear complementarity problems, Mathematics of Operations Research 30 (2005), pp. 1022-1038.
  160. P.Y. Nie, L.H. Chen and M. Fukushima, Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers, European Journal of Operational Research 169 (2006), pp. 310-328.
  161. P. Zhong and M. Fukushima, A new multi-class support vector algorithm, Optimization Methods and Software 21 (2006), pp. 359-372.
  162. 沓名拓郎，甲斐良隆，福島雅夫，キャッシュリザーブを用いたモーゲージ担保証券優先劣後構造の最適設計, 日本オペレーションズリサーチ学会和文論文誌 49巻 (2006), pp. 62-88．
  163. G.H. Lin and M. Fukushima, Hybrid approach with active set identification for mathematical programs with complementarity constraints, Journal of Optimization Theory and Applications 128 (2006), pp. 1-28.
  164. G.H. Lin and M. Fukushima, New reformulations for stochastic nonlinear complementarity problems, Optimization Methods and Software 21 (2006), pp. 551-564.
  165. M. Fukushima, How to deal with uncertainty – Some recent attempts, International Journal of Information Technology & Decision Making 5 (2006), pp. 623-637.
  166. A.-R. Hedar and M. Fukushima, Derivative-free filter simulated annealing method for constrained continuous global optimization, Journal of Global Optimization 35 (2006), 521-549.
  167. A.-R. Hedar and M. Fukushima, Tabu Search directed by direct search methods for nonlinear global optimization, European Journal of Operational Research 170 (2006), pp. 329-349.
  168. X.W. Liu and M. Fukushima, Parallelizable preprocessing method for multistage stochastic programming problems, Journal of Optimization Theory and Applications 131 (2006), 327-346.
  169. P. Zhong and M. Fukushima, Regularized nonsmooth Newton method for multi-class support vector machines, Optimization Methods and Software  22 (2007), pp. 225-236.
  170. P. Zhong and M. Fukushima, Second order cone programming formulations for robust multi-class classification, Neural Computation 19 (2007), pp. 258-282.
  171. H. Kato and M. Fukushima, An SQP-type algorithm for nonlinear second-order cone programs, Optimization Letters 1 (2007), pp. 129-144.
  172. 江本源一, 福島雅夫, 発電プラントにおけるタービン負荷配分の大域的最適化, システム制御情報学会論文誌 20 (2007), pp. 76-83.
  173. M. Fukushima, A class of gap functions for quasi-variational inequality problems, Journal of Industrial and Management Optimization 3 (2007), pp. 165-171.
  174. M.-A.Majig, A.-R. Hedar and M. Fukushima, Hybrid evolutionary algorithm for solving general variational inequality problems, Journal of Global Optimization 38 (2007), pp. 637-651.
  175. H. Fang, X. Chen and M. Fukushima, Stochastic $R_0$ matrix linear complementarity problems, SIAM Journal on Optimization 18 (2007), pp. 482-506.
  176. Z. Wang and M. Fukushima, A finite algorithm for almost linear complementarity problems, Numerical Functional Analysis and Optimization 28 (2007), pp. 1387-1403.
  177. D.S. Huang, Y. Kai, F.J. Fabozzi and M. Fukushima, An optimal design of collateralized mortgage obligation with PAC-companion structure using dynamic cash reserve, European Journal of Operational Research 177 (2007), pp. 1134-1152.
  178. D.S. Huang, F.J. Fabozzi and M. Fukushima, Robust portfolio selection with uncertain exit time using worst-case VaR strategy, Operations Research Letters 35 (2007), pp. 627-635.
  179. G.H. Lin, X. Chen and M. Fukushima, New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC, Optimization 56 (2007), pp. 641-653.
  180. R.P. Agdeppa, N. Yamashita and M. Fukushima, The traffic equilibrium problem with nonadditive costs and its monotone mixed complementarity problem formulation, Transportation Research B 41 (2007), pp. 862-874.
  181. D.S. Huang, S.S. Zhu, F.J. Fabozzi and M. Fukushima, Portfolio selection with uncertain exit time: A robust CVaR approach, Journal of Economic Dynamics and Control 32 (2008), pp. 594-623.
  182. M. Nishihara and M. Fukushima, Evaluation of firm's loss due to incomplete information in real investment decision, European Journal of Operational Research 188 (2008), pp. 569-585.
  183. R.P. Agdeppa, N. Yamashita and M. Fukushima, An implicit programming approach for the road pricing problem with nonadditive route costs, Journal of Industrial and Management Optimization 4 (2008), pp. 183-197.
  184. A.-R. Hedar, J. Wang and M. Fukushima, Tabu search for attribute reduction in rough set theory, Soft Computing 12 (2008), pp. 909-918.
  185. Y. Fang, L.H. Chen and M. Fukushima, A mixed R&D projects and securities portfolio selection model, European Journal of Operational Research 185 (2008), pp. 700-715.
  186. 田中洋一，福島雅夫，数理計画法によるコージェネレーションシステムの最適設計，システム制御情報学会論文誌 21 (2008), pp. 201-210.
  187. 田中洋一，福島雅夫，短時間での負荷変動を考慮した家庭用燃料電池システムの運用最適化，電気学会論文誌 B 128 (2008), pp. 1497-1504．
  188. G.H. Lin, H. Xu and M. Fukushima, Monte Carlo and quasi-Monte Carlo sampling methods for a class of stochastic mathematical programs with equilibrium constraints, Mathematical Methods of Operations Research 67 (2008), pp. 423-441.
  189. G.H. Lin, X. Chen and M. Fukushima, Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization, Mathematical Programming 116 (2009), pp. 343-368.
  190. X. Chen, C. Zhang and M. Fukushima, Robust solution of monotone stochastic linear complementarity problems, Mathematical Programming. 117 (2009), pp. 51-80.
  191. C. Kanzow, I. Ferenczi and M. Fukushima, On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity, SIAM Journal on Optimization 20 (2009), pp. 297-320.
  192. R. Nishimura, S. Hayashi and M. Fukushima, Robust Nash equilibria in N-person non-cooperative games: Uniqueness and reformulation, Pacific Journal of Optimization 5 (2009), pp. 237-259.
  193. 田中洋一，福島雅夫，確率計画法によるコージェネレーションシステムの運用最適化，電気学会論文誌 B 129 (2009), pp. 765-775.
  194. M.-A. Majig, B. Barsbold, R. Enkhbat and M. Fukushima, A global optimization approach for solving non-monotone variational inequality problems, Optimization 58 (2009), pp. 871-881.
  195. D.S. Huang, B.M. Yu, F.J. Fabozzi and M. Fukushima, CAViaR-based forecast for oil price risk, Energy Economics 31 (2009), pp. 511-518.
  196. S.S. Zhu and M. Fukushima, Worst-case conditional Value-at-Risk with application to robust portfolio management, Operations Research 57 (2009), pp. 1155-1168.
  197. D. Huang, S.S. Zhu, F.J. Fabozzi and M. Fukushima, Portfolio selection under distributional uncertainty: A relative robust CVaR approach, European Journal of Operational Research 203 (2010), pp.185-194.
  198. R.P. Agdeppa, N. Yamashita and M. Fukushima, Convex expected residual models for stochastic affine variational inequality problems and its application to the traffic equilibrium problem, Pacific Journal of Optimization 6 (2010), pp. 3-19.
  199. K. Kubota and M. Fukushima, Gap function approach to the generalized Nash equilibrium problem, Journal of Optimization Theory and Applications 144 (2010), pp. 511-531.
  200. M.-A.Majig and M. Fukushima, Restricted-step Josephy-Newton method for general variational inequalities with polyhedral constraints, Pacific Journal of Optimization 6 (2010), pp. 375-390.
  201. D.S. Huang, B.M. Yu, Z.D. Lu, F.J. Fabozzi, S. Forcardi and M. Fukushima, Index-exciting CAViaR: A new empirical time-varying risk model, Studies in Nonlinear Dynamics & Econometrics 14 (2), Article 1 (2010).
  202. G.H. Lin and M. Fukushima, Stochastic equilibrium problems and stochastic mathematical programs with equilibrium constraints: A survey, Pacific Journal of Optimization 6 (2010), pp. 455-482.
  203. T. Yan and M. Fukushima, Smoothing method for mathematical programs with symmetric cone complementarity constraints, Optimization 60 (2011), pp. 113-128.
  204. K. Nabetani, P. Tseng and M. Fukushima, Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints, Computational Optimization and Applications 48 (2011), pp. 423-452.
  205. A.R. Hedar, E. Mabrouk and M. Fukushima, Tabu programming: A new problem solver through adaptive memory programming over tree data structures, International Journal of Information Technology & Decision Making 10 (2011), pp. 373-406.
  206. M. Fukushima, Restricted generalized Nash equilibria and controlled penalty algorithm, Computational Management Science 8 (2011), pp. 201-218.
  207. B.T. Ong and M. Fukushima, Genetic algorithm with automatic termination and search space rotation, Memetic Computing 3 (2011), pp. 111-127.
  208. E. Mabrouk, J.C.H. Castro and M. Fukushima, Prime number generation using memetic programming, Artificial Life and Robotics 16 (2011), pp. 53-56.
  209. K. Hamatani and M. Fukushima, Pricing American options with uncertain volatility through stochastic linear complementarity models, Computational Optimization and Applications 50 (2011), pp. 263-286.
  210. 尾添俊介，田中洋一，福島雅夫，リコース付き確率混合整数計画法によるスマートハウスの運用最適化，電気学会論文誌B 131 (2011), pp. 885—895.
  211. M. Hu and M. Fukushima, Variational inequality formulation of a class of multi-leader-follower games, Journal of Optimization Theory and Applications 151 (2011), pp. 455-473.
  212. B.T. Ong and M. Fukushima, Global optimization via differential evolution with automatic termination, Numerical Algebra, Control and Optimization 2 (2012), pp. 57-67.
  213. M. Fukushima, SOR- and Jacobi-type iterative methods for solving $\ell_1$-$\ell_2$ problems by way of Fenchel duality, Optimization Letters 6 (2012), pp. 679-686.
  214. A. von Heusinger, C. Kanzow and M. Fukushima, Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation, Mathematical Programming. 132 (2012), pp. 99-123.
  215. R. Nishimura, S. Hayashi and M. Fukushima, Semidefinite complementarity reformulation for robust Nash equilibrium problems with Euclidean uncertainty sets, Journal of Global Optimization 53 (2012), pp. 187-215.
  216. C.P. Bras, M. Fukushima, J.J. Judice and S.S. Rosa, Variational inequality formulation of the asymmetric eigenvalue complementarity problem and its solution by means of gap functions, Pacific Journal of Optimization 8 (2012), pp. 197-215.
  217. M. Hu and M. Fukushima, Smoothing approach to Nash equilibrium formulations for a class of equilibrium problems with shared complementarity constraints, Computational Optimization and Applications 52 (2012), pp. 415-437.
  218. K. Ruan and M. Fukushima, Robust portfolio selection with a combined WCVaR and factor model, Journal of Industrial and Management Optimization 8 (2012), pp. 343-362.
  219. T. Okuno, S. Hayashi and M. Fukushima, A regularized explicit exchange method for semi-infinite programs with an infinite number of conic constraints, SIAM Journal on Optimization 22 (2012), pp. 1009-1028.
  220. E.H. Fukuda, P.J.S. Silva and M. Fukushima, Differentiable exact penalty functions for nonlinear second-order cone programs, SIAM Journal on Optimization 22 (2012), pp. 1607-1633.
  221. Y.B. Zhao and M. Fukushima, Rank-one solutions for homogeneous linear matrix equations over the positive semidefinite cone, Applied Mathematics and Computation 219 (2013), pp. 5569-5583.
  222. 高須啓介，田中洋一，福島雅夫, 相補性制約をもつ非線形2次錐計画問題に対する平滑化法とスマートハウス運転計画問題への適用, システム制御情報学会論文誌 26 (2013), pp. 34-44．
  223. J. Ang, M. Fukushima, F. Meng, T. Noda and J. Sun, Establishing Nash equilibrium of the manufacturer-supplier game in supply chain management, to appear in Journal of Global Optimization..
  224. A. Dreves, A. von Heusinger, C. Kanzow and M. Fukushima, A globalized Newton method for the computation of normalized Nash equilibria, to appear in Journal of Global Optimization.
  225. S. Yamanaka and M. Fukushima, A branch-and-bound method for absolute value programs, to appear in Optimization.
  226. H. Yamamura, T. Okuno, S. Hayashi and M. Fukushima, A smoothing SQP method for mathematical programs with linear second-order cone complementarity constraints, to appear in Pacific Journal of Optimization.
  227. R. Nishimura, S. Hayashi and M. Fukushima, SDP reformulation for robust optimization problems based on nonconvex QP duality, to appear in Computational Optimization and Applications.
  228. M. Hu and M. Fukushima, Existence, uniqueness, and computation of robust Nash equilibrium in a class of multi-leader-follower games, to appear in SIAM Journal on Optimization.
  229. T. Okuno and M. Fukushima, Local reduction based SQP-type method for semi-infinite programs with an infinite number of second-order cone constraints, to appear in Journal of Global Optimization.

・　解説論文等

  1. 福島雅夫, 微分不可能な最適化問題に対する数理計画法(1)(2), オペレーションズ・リサーチ, 23 (1978), pp. 317-324, 384-393.
  2. 福島雅夫, 数理計画法の展開をさぐる-I: 非線形計画法の双対理論, システムと制御, 24 (1980), pp. 537-546.
  3. 福島雅夫, 数理計画法の展開をさぐる-III: 準ニュートン法, システムと制御, 24 (1980), pp. 668-679.
  4. M. Fukushima, A summary of numerical algorithms in nonsmooth optimization, Proceedings of the 3rd Mathematical Programming Symposium, Japan, Tokyo, October 1982, pp. 63-78.
  5. M. Fukushima, Solution methods for variational inequalities, Proceedings of the 6th Mathematical Programming Symposium, Japan, Tokyo, November 1985, pp. 75-95.
  6. 福島雅夫, Gradient と Subgradient, オペレーションズ・リサーチ, 32 (1987), pp. 356-359.
  7. 福島雅夫, 非線形最適化における並列アルゴリズム, システム/制御/情報, 34 (1990), pp. 223-231.
  8. 福島雅夫, 非線形計画法(1)-(3), ＢＡＳＩＣ数学, 24 (1991), pp. 62-67 (No. 8), pp. 63-69 (No. 9), pp. 70-75 (No. 10).
  9. 福島雅夫, 非線形ネットワーク・フロー問題とその応用, ＢＡＳＩＣ数学, 24 (1991), pp. 58-64 (No. 10).
  10. 茨木俊秀, 福島雅夫, 最適化アルゴリズムの最近の動き, システム/制御/情報, 37 (1993), pp. 191-199.
  11. 福島雅夫, 数理計画問題に対する並列アルゴリズム, Proceedings of the Fifth RAMP Symposium, Tsukuba, October, 1993, pp. 15-28.
  12. 福島雅夫, 均衡モデル：相補性問題への招待, オペレーションズ・リサーチ, 41 (1996), pp. 331-336.
  13. 福島雅夫, 山下信雄, 相補性問題と変分不等式問題のメリット関数, オペレーションズ・リサーチ, 42 (1997), pp. 423-428.
  14. 山下信雄, 福島雅夫, 非線形相補性問題に対する近接点法, 応用数理, 10 (2000), pp. 12-24.
  15. 福島雅夫, 最適化 -- 数理計画の視点から --, システム/制御/情報, 51 (2007), pp. 37-38.

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