Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems

被引：26

作者：

Chuong, Thai Doan ^{[2
]}

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[2] Dong Thap Univ, Dept Math, Cao Lanh City, Dong Thap Prov, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Convex semi-infinite vector optimization; Efficient solution map; Pseudo-Lipschitz; Functional perturbations; Slater condition; METRIC REGULARITY; CONTINUITY; POSEDNESS; STABILITY;

D O I：

10.1016/j.na.2009.06.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of the pseudo-Lipschitz property of the efficient (Pareto) solution map for the perturbed convex semi-infinite vector optimization problem (CSVO). We establish sufficient conditions for the pseudo-Lipschitz property of the efficient solution map of (CSVO) under continuous perturbations of the right-hand side of the constraints and functional perturbations of the objective function. Examples are given to illustrate the obtained results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：6312 / 6322

页数：11

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