On system of generalized vector quasi-equilibrium problems with set-valued maps

被引：24
|
作者：
Peng, Jian-Wen [1 ]
Lee, Heung-Wing Joseph
Yang, Xin-Min
机构：
[1] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China
[2] Fudan Univ, Sch Management, Dept Management Sci, Shanghai 200433, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2006年 / 36卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Ci-x-0-partially diagonally quasiconvex; generalized Debreu type equilibrium problem; maximal element theorem; phi-condensing map; system of generalized vector quasi-equilibrium problems; system of vector quasi-equilibrium problems;
D O I：
10.1007/s10898-006-9004-5
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 four new types of the system of generalized vector quasi-equilibrium problems with set-valued maps which include system of vector quasi-equilibrium problems, system of vector equilibrium problems, system of variational inequality problems, and vector equilibrium problems in the literature as special cases. We prove the existence of solutions for such kinds of system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of vector quasi-equilibrium problems and the generalized Debreu type equilibrium problem for vector-valued functions.
引用
收藏
页码：139 / 158
页数：20
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