近次似凸集值优化的最优性条件与Lagrange乘子存在性  

The Optimality Conditons and Existence of Lagrange Multipliers of the Nearly Subconvexlike Vector Optimization of Set-Maps

作　　者：谢小凤[1] 李泽民[2] 

机构地区：[1]成都东软信息技术职业学院,四川成都611844 [2]重庆大学数理学院,重庆400045

出　　处：《山西师范大学学报（自然科学版）》2010年第4期46-50,共5页Journal of Shanxi Normal University(Natural Science Edition)

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.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.

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 

分 类 号：O224[理学—运筹学与控制论]