The system of vector quasi-equilibrium problems with applications

被引：54
|
作者：
Ansari, QH
Chan, WK
Yang, XQ
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[3] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2004年 / 29卷 / 01期
关键词：
Debreu type equilibrium problem; maximal element theorem; partial Gateaux derivative; Phi-condensing maps; system of vector quasi-equilibrium problems; system of vector quasi-variational-like inequalities;
D O I：
10.1023/B:JOGO.0000035018.46514.ca
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 consider the system of vector quasi-equilibrium problems with or without involving Phi-condensing maps and prove the existence of its solution. Consequently, we get existence results for a solution to the system of vector quasi-variational-like inequalities. We also prove the equivalence between the system of vector quasi-variational-like inequalities and the Debreu type equilibrium problem for vector-valued functions. As an application, we derive some existence results for a solution to the Debreu type equilibrium problem for vector-valued functions.
引用
收藏
页码：45 / 57
页数：13
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