线性空间中集值映射向量最优化的最优性条件  

Optimality Conditions for Vector Optimization of Set-valued Maps

作　　者：周志昂[1] 李泽民[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《重庆大学学报（自然科学版）》2003年第3期32-34,88,共4页Journal of Chongqing University

摘　　要：李泽民建立了实线性空间中次似凸集值映射向量最优化问题的K T条件和Lagrange乘子定理。笔者首先引进了广义次似凸集值映射的概念。然后 ,在实线性空间中建立了一个广义次似凸集值映射的择一性定理。最后 ,利用择一性定理 。Kuhn Tucker optimality conditions and Lagrange multipliers for vector optimization problems with subconvexlike set valued maps wereestablished by Li zemin. Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper. Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established. Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.

关 键 词：集值映射 最优性条件 择一性定理 广义次似凸 实线性空间 

分 类 号：O224[理学—运筹学与控制论]