Existence results for systems of vector equilibrium problems

被引:22
作者
Fang, Ya-Ping [1 ]
Huang, Nan-Jing
Kim, Jong Kyu
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] Kyungnam Univ, Dept Math, Masan 631701, Kyungnam, South Korea
关键词
(S)(+)-conditions; systems of variational inequalities; systems of vector equilibrium problems; vector variational inequality problems;
D O I
10.1007/s10898-005-1654-1
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
The purpose of this paper is to study systems of vector equilibrium problems. We establish some existence theorems for systems of vector equilibrium problems by using (S)(+)-conditions and Kakutani-Fan-Glicksberg fixed point theorem.
引用
收藏
页码:71 / 83
页数:13
相关论文
共 35 条
[1]   Use of recombinant cytokines for optimized induction of antiviral immunity against SIV in the nonhuman primate model of human AIDS [J].
Ansari, AA ;
Mayne, AE ;
Onlamoon, N ;
Pattanapanyasat, K ;
Mori, K ;
Villinger, F .
IMMUNOLOGIC RESEARCH, 2004, 29 (1-3) :1-17
[2]   The system of generalized vector equilibrium problems with applications [J].
Ansari, QH ;
Schaible, S ;
Yao, JC .
JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) :3-16
[3]   Existence and duality of implicit vector variational problems [J].
Ansari, QH ;
Yang, XQ ;
Yao, JC .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2001, 22 (7-8) :815-829
[4]   A fixed point theorem and its applications to a system of variational inequalities [J].
Ansari, QH ;
Yao, JC .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1999, 59 (03) :433-442
[5]   System of vector equilibrium problems and its applications [J].
Ansari, QH ;
Schaible, S ;
Yao, JC .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) :547-557
[6]  
ANSARI QH, 2000, APPL ANAL, V76, P203
[7]   Generalized monotone bifunctions and equilibrium problems [J].
Bianchi, M ;
Schaible, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 90 (01) :31-43
[9]   FIXED-POINT THEORY AND NON-LINEAR PROBLEMS [J].
BROWDER, FE .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (01) :1-39
[10]   Equilibrium problems with applications to eigenvalue problems [J].
Chadli, O ;
Wong, NC ;
Yao, JC .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 117 (02) :245-266