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.

引用

页数：12

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