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非光滑复合多目标规划的Lagrange乘子定理

Lagrange Multiplies Theorem of the Composite Multiobjective Nonsmooth Programming
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摘要 利用复合(V,ρ)-凸复合向量值函数的定义,对于真有效解建立了一类非光滑复合多目标规划的鞍点存在性定理。 Using the definition of composite ( V, p) -convexity, for the proper efficient solution of the composite multiobjective nonsmooth programming, the lagrange multiplies theorem is established.
作者 张荣
出处 《洛阳大学学报》 2003年第2期16-18,35,共4页 Journal of Luoyang University
关键词 非光滑复合多目标规划 LAGRANGE乘子定理 复合(V ρ)-凸复合向量值函数 鞍点 存在性定理 composite multiobjective programming composite ( V,ρp)-convexity saddle point
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参考文献7

  • 1田静,张荣.非光滑复合多目标规划的最优性条件[J].洛阳大学学报,2002,17(4):14-17. 被引量:1
  • 2Hanson M A. On sufficiency of the Kuhn-Tucker conditions[J]. J Math Anal Appl, 1981, 80: 544- 550.
  • 3Jeyakumar V, Mond B. On generalized convex mathematleal programming[J]. J Austral Math Soc: Ser B, 1992, 3(34): 43- 53.
  • 4Liu J L. ε-Pareto optimality for nondifferentiable multiobjective programming viapenalty funetion[J]. J Math Anal Appl, 1996, 198:248 - 261.
  • 5S K Mishra, Mukherjee R N. Generalized convex composite multiobjective nonsmooth programming and conditional proper effciency[J], Optimization, 1995, (34) : 53 - 66.
  • 6Kuk H. Nonsmooth multiobjeetive programs with V-p invexity[J]. Indian J Pure Appl Math, 1998,29:405 -412.
  • 7Jeyakumar V, Yang X Q. Convex composite multiobjective nonsmooth programming[J]. Math Programming, 1993,59: 325- 343.

二级参考文献6

  • 1Hanson M A. On suffciency of the Kuhn-Tucker conditions[ J]. J Math Anal Appl, 1981, 80: 544- 550.
  • 2Jeyakumar V and Mond B. On generalized convex mathematical programming[J].J Austral Math Soc: Ser B, 1992,34:43- 53.
  • 3Liu J L. ε-pareto optimality for nondifferentiable multiobjeetive programming viapenalty function[J] .J Math Anal Appl, 1996,198:248- 261.
  • 4Mishra S K and Mukherjee R N. Generalized convex composite multiobjective n on smooth programming and conditional proper efficiency[J]. Optimization, 1995,34:53 - 66.
  • 5Kuk H. Nonsmooth multiobjective programs with V-ρ invexity[J] .Indian J Pure Appl Math, 1998,29:405 -412.
  • 6Jeyakumar V and Yang X Q. Convex composite multiobjective nonsmooth programning[J]. Math Programming, 1993 59: 325 - 343.

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