Stability of semi-infinite vector optimization problems without compact constraints

被引：16

作者：

Fan, Xiaodong ^{[1
,2
]}

Cheng, Caozong ^{[1
]}

Wang, Haijun ^{[1
]}

机构：

[1] Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

[2] Bohai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 06期

关键词：

Stability; Semi-infinite vector optimization; Solution map; Continuity; LINEAR INEQUALITY SYSTEMS; VARIATIONAL ANALYSIS; METRIC REGULARITY; CONTINUITY;

D O I：

10.1016/j.na.2010.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the continuity of solution maps for perturbation semi-infinite vector optimization problems without compact constraint sets. The sufficient conditions for lower semicontinuity and upper semicontinuity of solution maps under functional perturbations of both objective functions and constraint sets are established. Some examples are given to analyze the assumptions in the main result. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2087 / 2093

页数：7