Existence of solutions for a generalized vector quasivariational inequality

被引：63

作者：

Chen, GY ^{[1
]}

Li, SJ ^{[1
]}

机构：

[1] CHONGQING ARCHITECTURE & ENGN INST,CHONGQING,PEOPLES R CHINA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 90卷 / 02期

关键词：

minimax inequalities; generalized vector quasivariational inequalities; minimal points; maximal points; section theorem;

D O I：

10.1007/BF02190001

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 paper deals with a generalization of a vector quasivariational inequality. An existence theorem for its solutions is established; it is based on a kind of minimax inequality, which is here established for continuous affine mappings and differs from previous results. Fan's section theorem for set-valued mappings is extended. An application for an equilibrium problem of a network with vector-valued cost functions is given.

引用

页码：321 / 334

页数：14

共 16 条

[1] Aubin J.-P., 1977, Applied Abstract Analysis
[2] THE GENERALIZED QUASI-VARIATIONAL INEQUALITY PROBLEM
CHAN, D
PANG, JS
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 1982, 7 (02) : 211 - 222
[3] EXISTENCE OF SOLUTIONS FOR A VECTOR VARIATIONAL INEQUALITY - AN EXTENSION OF THE HARTMANN-STAMPACCHIA THEOREM
CHEN, GY
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 74 (03) : 445 - 456
[4] CHEN GY, 1990, J MATH ANAL APPL, V153, P136
[5] CHEN GY, 1991, OPTIMIZATION, V22, P745
[6] DELUCA M, 1989, NONSMOOTH OPTIMIZATI
[7] A GENERALIZATION OF TYCHONOFF FIXED POINT THEOREM
FAN, K
[J]. MATHEMATISCHE ANNALEN, 1961, 142 (03) : 305 - 310
[8] A MINIMAX THEOREM FOR VECTOR-VALUED FUNCTIONS
FERRO, F
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 60 (01) : 19 - 31
[9] A MINIMAX THEOREM FOR VECTOR-VALUED FUNCTIONS .2.
FERRO, F
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 68 (01) : 35 - 48
[10] Giannessi F., 1980, Variational Inequalities and Complementarity Problems, P151

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