集值映射向量优化的一个必要条件

A Necessary Condition for One Kind of Vector Optimization Problem of Set-Valued Maps

本文在局部凸拓扑向量空间中得到了如下集值映射向量优化：ｍｉｎＦ（ｘ）ｓ．ｔ．Ｇ（ｘ）(（－Ｋ_１），０∈Ｈ（ｘ）的必要条件即 Ｆｒｉｔｚ Ｊｏｈｎ条件．

This paper,for the following vector optimization Problem of set-valued maps: min F(x) s. t. G(x) (- K_1) and 0 ∈ H(x) we obtain a necessary conditions of its the cone-weakly efficient solution in locally convex topological vector s paces.