集值广义强向量拟均衡问题系统解的通有稳定性  

General Stability of System Solutions for Set-valued Generalized Strong Vector Quasi-equilibrium Problems

作　　者：何芳 陈剑尘[1] 邢秋菊 HE Fang;CHEN Jian-chen;XING Qiu-ju(School of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学数学与信息科学学院,南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2021年第4期23-27,共5页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：国家自然科学基金(11061023);江西省自然科学基金(2010GZS0176)。

摘　　要：在实局部凸Hausdorff拓扑线性空间的框架下,本文将单值映射推广到集值映射、问题解推广至系统解。得到了当约束集值映射连续,目标映射满足锥−真拟凸的条件时,集值广义强向量拟均衡(SVGSVQEP)系统解是通有稳定的。In the framework of real locally convex Hausdorff topological linear spaces,the single-valued mappings are extended to set-valued mappings and the problem solutions are extended to system solutions in this paper.We obtain the result that the solution of set-valued generalized strong vector quasi-equilibrium(SVGSVQEP)system is always stable,when the constraint set-valued mapping is continuous and the objective mapping satisfies the cone-true quasi-convex condition.

关 键 词：集值映射 强向量 系统解 拟均衡问题 

分 类 号：O224[理学—运筹学与控制论]