Continuity of approximate solution mappings for parametric equilibrium problems

被引：48

作者：

Li, X. B. ^{[1
]}

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

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 51卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Parametric equilibrium problems; Approximate solution mapping; Hausdorff upper semicontinuity and Hausdorff lower semicontinuity; Berge upper semicontinuity and Berge lower semicontinuity; Scalarization; SOLUTION SETS; LOWER SEMICONTINUITY; HOLDER CONTINUITY; SENSITIVITY; STABILITY;

D O I：

10.1007/s10898-010-9641-6

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 obtain sufficient conditions for Hausdorff continuity and Berge continuity of an approximate solution mapping for a parametric scalar equilibrium problem. By using a scalarization method, we also discuss the Berge lower semicontinuity and Berge continuity of a approximate solution mapping for a parametric vector equilibrium problem.

引用

页码：541 / 548

页数：8

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