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

作     者：刘英 

作者机构：College of Mathematics and ComputerHebei University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2009年第30卷第7期

页      面：925-932页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：relatively nonexpansive mapping generalized projection inverse-strongly-monotone variational inequality p-uniformly convex 

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.