On System of Generalized Vector Quasi-equilibrium Problems with Set-valued Maps

被引：0
|
作者：
Jian-Wen Peng
Heung-Wing Joseph Lee
Xin-Min Yang
机构：
[1] Chongqing Normal University,College of Mathematics and Computer Science
[2] Fudan University,Department of Management Science, School of Management
[3] The Hong Kong Polytechnic University,Department of Applied Mathematics
来源：
Journal of Global Optimization | 2006年 / 36卷
关键词：
-0-partially diagonally quasiconvex; generalized Debreu type equilibrium problem; maximal element theorem; Φ-condensing map; system of generalized vector quasi-equilibrium problems; system of vector quasi-equilibrium problems;
D O I：
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中图分类号：
学科分类号：
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.
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页码：139 / 158
页数：19
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