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.
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页数：10
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