GENERALIZED-QUASI-VARIATIONAL INEQUALITY PROBLEMS WITH DISCONTINUOUS MAPPINGS

被引:18
作者
YAO, JC
机构
关键词
GENERALIZED QUASI-VARIATIONAL INEQUALITIES; POINT-TO-SET MAPPINGS; MINIMAX INEQUALITIES; ABSTRACT ECONOMY;
D O I
10.1287/moor.20.2.465
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
We derive several existence results for generalized quasi-variational inequality problems where the mappings under consideration need not have any continuity properties. As applications, we obtained several existence results for equilibrium problems involving abstract economies.
引用
收藏
页码:465 / 478
页数:14
相关论文
共 21 条
[1]  
AUBIN JP, 1979, APPLIED FUNCTIONAL A
[2]  
BROWDER FE, 1965, B AM MATH SOC, V71, P781
[3]   THE GENERALIZED QUASI-VARIATIONAL INEQUALITY PROBLEM [J].
CHAN, D ;
PANG, JS .
MATHEMATICS OF OPERATIONS RESEARCH, 1982, 7 (02) :211-222
[4]  
Cottle RW, 1976, S MATH, V19, P177
[5]   FINITE-DIMENSIONAL QUASI-VARIATIONAL INEQUALITIES ASSOCIATED WITH DISCONTINUOUS FUNCTIONS [J].
CUBIOTTI, P .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 72 (03) :577-582
[6]  
DEBREU G, 1983, MATH EC
[7]  
Fan K., 1972, INEQUALITIES, VIII, P103
[8]   GENERALIZED VARIATIONAL-INEQUALITIES [J].
FANG, SC ;
PETERSON, EL .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 38 (03) :363-383
[9]   FINITE-DIMENSIONAL VARIATIONAL INEQUALITY AND NONLINEAR COMPLEMENTARITY-PROBLEMS - A SURVEY OF THEORY, ALGORITHMS AND APPLICATIONS [J].
HARKER, PT ;
PANG, JS .
MATHEMATICAL PROGRAMMING, 1990, 48 (02) :161-220
[10]  
Hartman P., 1966, ACTA MATH, V115, P153