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：
Applied Mathematics and Mechanics(English Edition) | 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.
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页码：925 / 932
页数：8
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