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

作　　者：胡艳梅[1] 王三华[2] HU Yanmei;WANG Sanhua(College of Science and Engineering, East China Jiaotong University, Nanchang 330100, China;Department of Mathematics, Nanchang University, Nanchang 330031, China)

机构地区：[1]华东交通大学理工学院,江西南昌330100 [2]南昌大学数学系,江西南昌330031

出　　处：《济南大学学报（自然科学版）》2018年第2期161-165,共5页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金项目(11661055)

摘　　要：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.

关 键 词：相依上图导数 广义锥-凸集值映射 HENIG有效解 集值向量优化问题 向量变分不等式 

分 类 号：O317[理学—一般力学与力学基础]