Topological pseudomonotonicity and vector equilibrium problems

被引:31
作者
Chadli, O
Chiang, Y [1 ]
Huang, S
机构
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[2] Univ Cadi Ayyad, Dept Math, Marrakech, Morocco
[3] Natl Donghwa Univ, Dept Appl Math, Hualien 974, Taiwan
关键词
vector equilibrium problem; vector variational inequality; Pareto optima; fan-KKM theorem; vector topological pseudomonotonicity;
D O I
10.1016/S0022-247X(02)00079-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the topological pseudomonotonicity to vector valued bifunctions, and derive some existence results for vector equilibrium problems with the corresponding bifunctions topologically pseudomonotone. Some applications to vector variational inequalities and existence of Pareto optima are given. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:435 / 450
页数:16
相关论文
共 25 条
[1]  
Aliprantis CD, 1994, INFINITE DIMENSIONAL
[2]  
[Anonymous], NONLINEAR FUNCTION B
[3]   An existence result for the generalized vector equilibrium problem [J].
Ansari, QH ;
Yao, JC .
APPLIED MATHEMATICS LETTERS, 1999, 12 (08) :53-56
[4]   A generalization of vectorial equilibria [J].
Ansari, QH ;
Oettli, W ;
Schlager, D .
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1997, 46 (02) :147-152
[5]  
ANSARI QH, 2001, IN PRESS J STAT MANA
[6]  
ANSARI QH, 2002, IN PRESS NUMER FUNCT
[7]  
Aubin JP., 1982, Mathematical methods of game and economic theory
[8]  
AUBIN JP, 1984, ANAL LINEAIRE MOTIVA
[9]   Vector equilibrium problems with generalized monotone bifunctions [J].
Bianchi, M ;
Hadjisavvas, N ;
Schaible, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 92 (03) :527-542
[10]   Generalized monotone bifunctions and equilibrium problems [J].
Bianchi, M ;
Schaible, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 90 (01) :31-43