集值优化问题Borwein真有效解与Benson真有效解的等价性

The Equivalence of Borwein Properly Efficient Solution and Benson Properly Efficient Solution of Set-Valued Optimization Problem

在局部凸空间中锥弱似凸集值映射的假设下,集值优化问题Borwein真有效解与Benson真有效解的等价性被获得.为了说明结果,一些例子被给出.

Abstract： In local convex spaces, the equivalence of Borwein properly efficient solution and Benson properly efficient solution of set-valued optimization problem is obtained under the assumption of cone weak convexlike set-valued map. Some examples are given to illustrate our result.