集值映射向量优化的最有性条件

Optimality Conditions for Vector Optimization of Set-valued Maps

文章首先引进了近似锥似凸集值映射的概念,并在实拓扑向量空间中建立了近似锥似凸集值映射的择一性定理,获得了近似锥似凸集值映射向量优化问题的最有性充要条件,最后给出了对偶问题并推导了对偶定理。

In this paper the concept of nearly cone-convexlike set-valued maps is presented and a theorem of alternative for the system of nearly cone-convexlike set-valued maps is established in the real linear topological vector spaces.Necessary and sufficient optimality conditions for vector optimization problems with nearly cone-convexlike set-valued maps is obtained.