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

共 50 条

[41] Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems
Yu Han
Nan-jing Huang
[J]. Journal of Optimization Theory and Applications, 2018, 179 : 65 - 85
[42] Stability of the set of solutions for generalized vector equilibrium problems with cone constraints
Han, Yu
Huang, Nan-jing
[J]. OPTIMIZATION, 2022, 71 (09) : 2491 - 2517
[43] Existence of solutions of generalized vector equilibrium problems in reflexive Banach spaces
Sadeqi, I.
Alizadeh, C. G.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) : 2226 - 2234
[44] Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems
Han, Yu
Huang, Nan-Jing
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 179 (01) : 65 - 85
[45] HOLDER CONTINUITY OF SOLUTION MAPS TO A PARAMETRIC WEAK VECTOR EQUILIBRIUM PROBLEM
Preechasilp, P.
Wangkeeree, R.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1751 - 1767
[46] Continuity for vector optimization problems with equilibrium constraints
Wu, YN
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (01): : 65 - 71
[47] Continuity for vector optimization problems with equilibrium constraints
WU YunanInstitute of Policy and Management
[J]. Science China Mathematics, 2004, (01) : 65 - 71
[48] Continuity for vector optimization problems with equilibrium constraints
Yunan Wu
[J]. Science in China Series A: Mathematics, 2004, 47
[49] Continuity for vector optimization problems with equilibrium constraints
WU YunanInstitute of Policy and Management Chinese Academy of Sciences Beijing China
[J]. Science in China,Ser.A., 2004, Ser.A.2004 (01) - 71
[50] The holder continuity of generalized solutions of a class quasilinear parabolic equations
Xiangdong W.
Xiting L.
[J]. Applied Mathematics and Mechanics, 1998, 19 (6) : 573 - 583

← 1 2 3 4 5 →