Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality

被引：56

作者：

Li, S. J. ^{[1
]}

Fang, Z. M. ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 147卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Lower semicontinuity; Parametric generalized Ky Fan inequality; Weak vector solution; Global vector solution; Scalarization; VECTOR EQUILIBRIUM PROBLEMS; SOLUTION SETS; EFFICIENT SOLUTIONS; STABILITY; SYSTEMS; CONNECTEDNESS; CONTINUITY;

D O I：

10.1007/s10957-010-9736-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we investigate weak vector solutions and global vector solutions to a generalized Ky Fan inequality. Under new assumptions, which are weaker than the assumption of strict C-mappings, we establish the lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality by using a scalarization method. These results extend the corresponding ones in the literature. Some examples are given to illustrate our results.

引用

页码：507 / 515

页数：9

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