Existence of solutions of a new system of generalized variational inequalities in Banach spaces

被引：1

作者：

Plubtieng, Somyot ^{[1
]}

Thammathiwat, Tipphawan ^{[1
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

system of generalized variational inequalities; generalized projection; reflexive Banach spaces; NONEXPANSIVE-MAPPINGS; PROJECTION METHODS; CONVERGENCE; THEOREM; ALGORITHMS;

D O I：

10.1186/1029-242X-2012-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and Kakutani-Fan-Glicksberg fixed point theorem, we establish some new existence theorems of solutions for two classes of generalized set-valued variational inequalities in reflexive Banach spaces under some suitable conditions.

引用

页数：10

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