Systems of Generalized Quasivariational Inclusion Problems with Applications in LΓ-Spaces

被引：3
|
作者：
Yang, Ming-ge [1 ,2 ]
Xu, Jiu-ping [3 ]
Huang, Nan-jing [1 ,3 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] Luoyang Normal Univ, Dept Math, Luoyang 471022, Henan, Peoples R China
[3] Sichuan Univ, Coll Business & Management, Chengdu 610064, Sichuan, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
ABSTRACT CONVEX-SPACES; FIXED-POINT THEOREMS; UNIFORM-SPACES; OPTIMIZATION PROBLEMS; MINIMAX INEQUALITIES; TOPOLOGICAL-SPACES; BANACH-SPACES; MAPPINGS;
D O I：
10.1155/2011/561573
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first prove that the product of a family of L Gamma-spaces is also an L Gamma-space. Then, by using a Himmelberg type fixed point theorem in L Gamma-spaces, we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in L Gamma-spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium problems to optimization problems are given in L Gamma-spaces.
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页数：12
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