Holder continuity and upper estimates of solutions to vector quasiequilibrium problems

被引：30

作者：

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

Chen, C. R. ^{[1
]}

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

Teo, K. L. ^{[2
]}

机构：

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

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2011年 / 210卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Multiple objective programming; Vector quasiequilibrium problems; Holder continuity; Upper bounds; Hausdorff distance; SENSITIVITY-ANALYSIS; SOLUTION SETS; SOLUTION MAPPINGS; ERROR-BOUNDS; VARIATIONAL INCLUSIONS; LOWER SEMICONTINUITY; WELL-POSEDNESS; STABILITY;

D O I：

10.1016/j.ejor.2010.10.005

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we establish the Holder continuity of solution mappings to parametric vector quasiequilibrium problems in metric spaces under the case that solution mappings are set-valued. Our main assumptions are weaker than those in the literature, and the results extend and improve the recent ones. Furthermore, as an application of Holder continuity, we derive upper bounds for the distance between an approximate solution and a solution set of a vector quasiequilibrium problem with fixed parameters. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：148 / 157

页数：10

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