Systems of simultaneous generalized vector quasiequilibrium problems and their applications

被引：23

作者：

Ansari, QH ^{[1
]}

Lin, LJ

Su, LB

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran, Saudi Arabia

[2] Natl Changhua Univ Educ, Dept Math, Changchun, Peoples R China

[3] Natl Changhua Univ Educ, Dept Math, Changchun, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 127卷 / 01期

关键词：

systems of simultaneous generalized vector equilibrium problems; systems of vector saddle point problems; systems of minimax inequalities; Debreu-type equilibrium problems; properly convex functions;

D O I：

10.1007/s10957-005-6391-6

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：

In this paper, we introduce systems of simultaneous generalized vector equilibrium problems and prove the existence of their solutions. As application of our results, we derive the existence theorems for solutions of systems of vector saddle-point problems. Consequently, we prove the existence of a solution of systems of generalized minimax inequalities. Further application of our results is also given to establish the existence of a solution of a Debreu-type equilibrium problem for vector-valued functions.In this paper, we introduce systems of simultaneous generalized vector equilibrium problems and prove the existence of their solutions. As application of our results, we derive the existence theorems for solutions of systems of vector saddle-point problems. Consequently, we prove the existence of a solution of systems of generalized minimax inequalities. Further application of our results is also given to establish the existence of a solution of a Debreu-type equilibrium problem for vector-valued functions.

引用

页码：27 / 44

页数：18

共 23 条

[1]

Ansari Q.H., 2000, TOPOL METHOD NONL AN, V15, P191

[2]

Ansari Q. H., 2004, MATH ANAL APPL, P1

[3] 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

[4] The system of vector quasi-equilibrium problems with applications [J].

Ansari, QH ;

Chan, WK ;

Yang, XQ .

JOURNAL OF GLOBAL OPTIMIZATION, 2004, 29 (01) :45-57

[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]

Berge C., 1963, Topological Spaces: Including a Treatment of Multi-Valued Functions. Vector Spaces and Convexity

[8]

Cellina A, 1994, DIFFERENTIAL INCLUSI

[9] A SOCIAL EQUILIBRIUM EXISTENCE THEOREM [J].

DEBREU, G .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (10) :886-893

[10]

Ding XP, 2000, NONCON OPTIM ITS APP, V38, P113

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