集值向量优化问题的Henig有效解的最优条件

Optimal Conditions for Henig Efficient Solution of Set-valued Vector Optimization Problem

为了在实拓扑向量空间中研究集值向量优化问题的Henig有效性,借助相依上图导数和广义锥-凸集值映射的概念,讨论集值向量优化问题的Henig有效解与向量变分不等式的Henig有效解之间的关系。结果表明,在广义锥-凸集值映射下,集值向量优化问题的Henig有效解与向量变分不等式的Henig有效解是一致的。

To study the Henig efficiency of set-valued vector optimization problem in real topological vector space,the relationship between Henig efficient solution for set-valued vector optimization problem and vector variational inequality was discussed by using the concepts of contingent epiderivative and generalized cone-convex set-valued mapping.The results show that under the generalized cone-convex set-valued mapping,the Henig efficient solution to set-valued vector optimization problem and vector variational inequality is consistent.