Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings

被引：261

作者：

Iiduka, H ^{[1
]}

Takahashi, W ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528522, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 03期

关键词：

metric projection; inverse-strongly monotone mapping; nonexpansive mapping; variational inequality; strong convergence;

D O I：

10.1016/j.na.2003.07.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly monotone mapping in a Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping and the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：341 / 350

页数：10

共 19 条

[1] NONLINEAR MONOTONE OPERATORS AND CONVEX SETS IN BANACH SPACES [J].