乘积Banach空间中等式约束向量极值问题的最优性必要条件

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.