| 近次似凸集值优化的最优性条件与Lagrange乘子存在性 |
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| 引用本文： | 谢小凤,李泽民.近次似凸集值优化的最优性条件与Lagrange乘子存在性[J].山西师范大学学报,2010(4). |
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| 作者姓名： | 谢小凤 李泽民 |
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| 作者单位： | 成都东软信息技术职业学院;重庆大学数理学院; |
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| 摘 要： | 在序线性空间中,引入近次似凸集值映射向量优化问题的数学模型.利用近次似凸集值映射下的择一性定理,在弱有效解意义下,建立了序线性空间中近次似凸集值优化问题的最优性条件,标量化定理及其Lagrange乘子存在性.
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| 关 键 词： | 近次似凸 择一性定理 最优性条件 标量化定理 Lagrange乘子存在性 |
The Optimality Conditons and Existence of Lagrange Multipliers of the Nearly Subconvexlike Vector Optimization of Set-Maps |
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| XIE Xiao-feng,LI Ze-min.The Optimality Conditons and Existence of Lagrange Multipliers of the Nearly Subconvexlike Vector Optimization of Set-Maps[J].Journal of Shanxi Teachers University,2010(4). |
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| Authors: | XIE Xiao-feng LI Ze-min |
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| Institution: | XIE Xiao-feng1,LI Ze-min2(1.Chengdu Neusoft Institute of Information,Chengdu 611844,Sichuan,China,2.College of Mathematics&Physics,Chongqing University,Chongqing 400045,China) |
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| Abstract: | In order linear space,the mathematics models for vector optimization problems of nearly subconvexlike set-valued maps are established.By the theorem of alternative,the optimality sufficient condition and necessary condition and the theorems of scalarization and existence of Lagrange multipliers for the vector optimization of nearly subconvexlike set-valued maps are established in the sense of the weakly efficient solution. |
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| Keywords: | nearly subconvexlike alternative theorem optimality condition the theorems of scalarization existence of Lagrange multipliers |
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