The Holder continuity of solutions to generalized vector equilibrium problems

被引：40

作者：

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

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

Wang, L. N. ^{[1
]}

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

机构：

[1] Chongqing Univ, Coll Math & Sci, Chongqing 400030, Peoples R China

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

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2009年 / 199卷 / 02期

关键词：

Generalized vector equilibrium problems; Holder continuity; Hausdorff distance; Metric spaces; VARIATIONAL INEQUALITY; SOLUTION SETS; SEMICONTINUITY; STABILITY;

D O I：

10.1016/j.ejor.2008.12.024

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, by using a weaker assumption, we discuss the Holder continuity of solution maps for two cases of parametric generalized vector equilibrium problems under the case that the solution map is a general set-valued one, but not a single-valued one. These results extend the recent ones in the literature. Several examples are given for the illustration of our results. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：334 / 338

页数：5

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