Continuity of the solution mappings to parametric generalized vector equilibrium problems

被引：15

作者：

Wangkeeree, Rabian ^{[1
]}

Wangkeeree, Rattanaporn ^{[1
]}

Preechasilp, Pakkapon ^{[1
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 29卷

关键词：

Parametric generalized strong vector equilibrium problem; Continuity; Efficient solution; HOLDER CONTINUITY; LOWER SEMICONTINUITY; EFFICIENT SOLUTIONS;

D O I：

10.1016/j.aml.2013.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish the continuity of the efficient solution mappings to a parametric generalized strong vector equilibrium problem, by using the Holder relation. Our result extends and improves some recent results in the references therein. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：42 / 45

页数：4

共 18 条

[1] On the Holder continuity of solutions to parametric multivalued vector equilibrium problems [J].

Anh, L. Q. ;

Khanh, P. Q. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) :308-315

[2] Uniqueness and Holder continuity of the solution to multivalued equilibrium problems in metric spaces [J].

Anh, Lam Quoc ;

Khanh, Phan Quoc .

JOURNAL OF GLOBAL OPTIMIZATION, 2007, 37 (03) :449-465

[3]

Ansari QH, 2000, NONCON OPTIM ITS APP, V38, P1

[4]

Aubin J-P., 1984, APPL NONLINEAR ANAL

[5] Continuity of the solution mapping to parametric generalized vector equilibrium problems [J].

Chen, Bin ;

Huang, Nan-jing .

JOURNAL OF GLOBAL OPTIMIZATION, 2013, 56 (04) :1515-1528

[6]

Chen CR, 2010, PAC J OPTIM, V6, P141

[7] Solution semicontinuity of parametric generalized vector equilibrium problems [J].

Chen, C. R. ;

Li, S. J. ;

Teo, K. L. .

JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (02) :309-318

[8] A MINIMAX THEOREM FOR VECTOR-VALUED FUNCTIONS [J].

FERRO, F .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 60 (01) :19-31

[9] Lower semicontinuity of the set of efficient solutions for generalized systems [J].

Gong, X. H. ;

Yao, J. C. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 138 (02) :197-205

[10] On the lower semicontinuity of optimal solution sets [J].

Kien, BT .

OPTIMIZATION, 2005, 54 (02) :123-130

← 1 2 →