Lower Semicontinuity of the Effcient Solution Mapping in Semi-In?nite Vector Optimization  

作　　者：GONG Xunhua 

机构地区：[1]Department of Mathematics, Nanchang University

出　　处：《Journal of Systems Science & Complexity》2015年第6期1312-1325,共14页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11061023;11201216;and 11471291

摘　　要：This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and the constraint set in normed linear spaces. The constraint set is the set of weakly effcient solutions of vector equilibrium problem, and perturbed by the perturbation of the criterion mapping to the vector equilibrium problem.

关 键 词：Effcient solution mapping lower semicontinuity semi-infinite vector optimization vector equilibrium problem 

分 类 号：O224[理学—运筹学与控制论] O176[理学—数学]