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广义V-r-Ⅰ型不变凸非光滑多目标规划问题

Nonsmooth Multiobjective Programming under Generalized V r-Type-ⅠInvexity
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摘要 通过给出非光滑多目标规划问题的广义V-r-Ⅰ型不变凸概念,在广义V-r-Ⅰ型不变凸条件下得到了可行解为有效解的Fritz-John和Karush-Kuhn-Tuker充分条件,并建立了混合型对偶问题,证明了弱对偶与严格逆对偶定理. Based on a new class of concept of generalized V-r-type-Ⅰinvexity defined for nonsmooth multiobjective programming problems,Fritz-John and Karush-Kuhn-Tuker sufficiently optimal conditions were obtained for a feasible point to be an efficient solution.Moreover,a mixed type dual was formulated and weak duality and strict converse duality theorems were proved.
作者 闫春雷
机构地区 青岛大学数学科学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2014年第4期687-692,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11071110)
关键词 非光滑多目标规划 有效解 广义V-r-Ⅰ型不变凸 充分最优性条件 混合型对偶 nonsmooth multiobjective programming efficient solution generalized V-r-type-Iinvexity sufficient optimality conditions mixed duality
分类号 O211.6 [理学—概率论与数理统计]
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参考文献14

  • 1Hanson M A. On Sufficiency of the Kuhn Tucker Conditions [J]. Journal of Mathematical Analysis and Applications, 1981, 80(2) : 545-550.
  • 2Hanson M A, Mond B. Necessary and Sufficient Conditions in Constrained Optimization [J]. Mathematical Programming, 1987, 37(1): 51-58.
  • 3Kaul R N, Suneja S K, Srivastava M K. Optimality Criteria and Duality in Multiple objective Optimization Involving Generalized lnvexity [J]. Journal of Optimization Theory and Applications, 1994, 80(3): 465-482.
  • 4Aghezzaf B, Hachimi M. Generalized Invexity and Duality in Multiobjective Programming Problems [J]. Journal of Global Optimization, 2000, 18(1): 91-101.
  • 5Hanson M A, Pini R, Singh C. Multiobjective Programming under Generalized Type I Invexity [J]. Journal of Mathematical Analysis and Applications, 2001, 281(2) : 562-577.
  • 6Mishra S K, Noor M A. Some Nondifferentiale Multiobjective Programming Problems [J].Journal of Mathematical Analysis and Applications, 2006, 316(2): 472-482.
  • 7Antczak T. Optimality Conditions and Duality for Nondifferentiale Multiobjective Programming Problems Involving dr-Type I Functions [J]. Journal of Computational and Applied Mathematics, 2009, 225(1): 236-250.
  • 8Slimani H, Radjef M S. Nondifferentiable Muhiobjective Programming under Generalized d l Invexity[J]. European Journal of Operational Research, 2010, 202(1): 32-41.
  • 9Jeyakumar V, Mond B. On Generalized Convex Mathematical Programming [J].Journal of Australian Mathematical Society: Series B, 1992, 34(1): 43- 53.
  • 10Antczak T. V-r-Invexity in Muhiobjective Programming [J].Journal of Applied Analysis, 2005, 11(1): 63-80.
吉林大学学报（理学版）
2014年 第4期

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