Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space

被引：0

作者：

刘英 ^{[1
]}

机构：

[1] College of Mathematics and Computer,Hebei University

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2009年 / 30卷 / 07期

关键词：

relatively nonexpansive mapping; generalized projection; inverse-strongly-monotone; variational inequality; p-uniformly convex;

D O I：

暂无

中图分类号：

O177.91 [非线性泛函分析];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then, we show that the sequence converges strongly to a common element of the two sets. Our results improve and extend the corresponding results reported by many others.

引用

页码：925 / 932

页数：8

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