集值函数向量优化锥弱有效解的最优性条件

THE SUFFICIENT AND NECESSARY CONDITION FOR WEAK EFFICIENT SOLUTION OF VECTOR OPTIMIZATION OF SET-VALUED FUNCTIONS

本文在局部凸拓扑向量空间中对集值函数向量优化的锥弱有效解给出了ＦｒｉｔｚＪｏｈｎ型和Ｋｕｈｎ－Ｔａｃｋｅｒ型必要条件，同时还给出了它的充分条件．

In this paper, we establish the Fritz John and Kuhn-Tacker type necessary condition and sufficient condition for cone weak efficient solution of vector optimization of set -valued funtions in locally convex topological vector spaces.