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

作　　者：Xin Xu Yang-Dong Xu Yue-Ming 

机构地区：[1]College of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

出　　处：《Journal of the Operations Research Society of China》2021年第2期441-454,共14页中国运筹学会会刊（英文）

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

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 problems.First,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 mapping.Finally,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.

关 键 词：Set-valued vector optimization problems Level mapping Solution set mapping Upper semicontinuity Lower semicontinuity 

分 类 号：O17[理学—数学]