| 非光滑多目标广义本性凸规划的最优性条件与对偶 |
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| 引用本文： | 王彩玲,刘庆怀,李忠范.非光滑多目标广义本性凸规划的最优性条件与对偶[J].东北数学,2008,24(5):377-385. |
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| 作者姓名： | 王彩玲 刘庆怀 李忠范 |
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| 作者单位： | |
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| 摘 要： | In this paper, we introduce generalized essentially pseudoconvex function and generalized essentially quasiconvex function, and give sufficient optimality conditions of the nonsmooth generalized convex multi-objective programming and its saddle point theorem about cone efficient solution. We set up Mond-Weir type duality and Craven type duality for nonsmooth multiobjective programming with generalized essentially convex functions, and prove them.
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| 关 键 词： | 非光滑多目标规划 广义凸函数 凸多目标规划 最优性条件 对偶 拟凸函数 鞍点定理 输入型 |
Optimality Conditions and Duality for Nonsmooth Multiobjective Programms with Generalized Essential Convexity |
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| WANG Cai-ling,LIU Qing-huai,LI Zhong-fan.Optimality Conditions and Duality for Nonsmooth Multiobjective Programms with Generalized Essential Convexity[J].Northeastern Mathematical Journal,2008,24(5):377-385. |
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| Authors: | WANG Cai-ling LIU Qing-huai LI Zhong-fan |
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| Institution: | [1]School of Mathematics, Jilin University, Changchun, 130012 [2]Institute of Applied Mathematics, Changchun University of Technology, Changchun, 130014 |
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| Abstract: | In this paper, we introduce generalized essentially pseudoconvex func-tion and generalized essentially quasiconvex function, and give sufficient optimality conditions of the nonsmooth generalized convex multi-objective programming and its saddle point theorem about cone efficient solution.We set up Mond-Weir type duality and Craven type duality for nonsmooth multiobjective programming with generalized essentially convex functions, and prove them. |
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| Keywords: | multiobjective programming optimality condition saddle point dual-ity |
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