Some results on systems of quasi-variational inclusion problems and systems of generalized quasi-variational inclusion problems

被引：0
|
作者：
Lin, Lai-Jiu [1 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 01期
关键词：
Systems of quasi-variational inclusion (disclusion) problem; System of KKM theorem; Systems of quasi-KKM theorem; Systems of generalized quasi-variational inclusion (disclusion) problems; System of quasi-equilibrium problem; VECTOR EQUILIBRIUM PROBLEMS; OPTIMIZATION PROBLEMS; FIXED-POINT; COINCIDENCE THEOREMS; EXISTENCE; PRINCIPLE;
D O I：
10.1016/j.na.2009.06.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study systems of quasi-variational inclusion problem and systems of quasi-variational disclusion problem. From the existence theorems of solution for these two types of problems, we study various types of systems of quasi-variational inclusion problems, systems of quasi-equilibrium problems, systems of quasi-KKM theorem, abstract economics and system of KKM theorem. We also show their equivalent relations. We study further existence theorems of solution for generalized quasi-variational inclusion problem. Our results are different from any existence result in the literature. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：37 / 49
页数：13
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