Semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems

作     者：Xin Xu Yang-Dong Xu Yue-Ming 

作者机构：College of ScienceChongqing University of Posts and TelecommunicationsChongqing 400065China 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2021年第9卷第2期

页      面：441-454页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This research was supported by the National Natural Science Foundation of China(No.11801051) 

主　　题：Set-valued vector optimization problems Level mapping Solution set mapping Upper semicontinuity Lower semicontinuity 

摘      要：With the help of a level mapping,this paper mainly investigates the semicontinuity of minimal solution set mappings for set-valued vector optimization ***,we introduce a kind of level mapping which generalizes one given in Han and Gong(Optimization 65:1337–1347,2016).Then,we give a sufficient condition for the upper semicontinuity and the lower semicontinuity of the level ***,in terms of the semicontinuity of the level mapping,we establish the upper semicontinuity and the lower semicontinuity of the minimal solution set mapping to parametric setvalued vector optimization problems under the C-Hausdorff continuity instead of the continuity in the sense of Berge.