期刊文献+

非光滑复合多目标规划的最优性条件 被引量:1

Optimality Conditions for Composite Non-smooth Multi-objective Programming
下载PDF
导出
摘要 引进了复合向量值函数的复合(V,ρ) 凸性的概念,分别对于有效解、弱有效解和真有效解建立了一类非光滑复合多目标规划的最优性充分条件. The concept of generalized(V,ρ)invexity for the composite vector valued functions is introduced. For the composite nonsmooth multiobjective programming problems,the generalized KarushKuhnTucker sufficient theorems are proved with respect to efficient solution,weak efficient solution and properly efficient solution. 
作者 田静 张荣
出处 《洛阳大学学报》 2002年第4期14-17,共4页 Journal of Luoyang University
关键词 非光滑复合多目标规划 最优性条件 复合(V ρ)-凸 复合向量值函数 数学规划 composite multi-objective program composite(V,ρ)-invexity efficient solution
  • 相关文献

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.

同被引文献6

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

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部