乘积Banach空间中等式约束向量极值问题的最优性必要条件(英文)  

Necessary Optimality Conditions for Vector Extremum Problems with Equality Constraint in Product of Banach Spaces

作　　者：李泽民[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《运筹学学报》2005年第3期39-44,共6页Operations Research Transactions

摘　　要：本文利用Banach空间中的隐函数定理和序线性拓扑空间中对于次似凸向量值映射的择一定理,得出了乘积Banach空间中具有等式约束向量极值问题的若干最优性必要条件.In this paper, the necessary optimality conditions for vector extremum problemswith equality constraint in product of Banach spaces are obtained by using a implicitfunction theorem in Banach spaces and a theorem of the alternative for subconvexlikevector-valued maps in ordered linear topological spaces.

关 键 词：运筹学 乘积空间 Banach空间 最优性必要条件 向量极值问题 等式约束 乘积 序线性拓扑空间 向量值映射 隐函数定理 择一定理 

分 类 号：O177.2[理学—数学] O221.2[理学—基础数学]