Strong convergence of an iterative algorithm for accretive operators and nonexpansive mappings

被引：2

作者：

Jung, Jong Soo ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Busan 49135, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

关键词：

Iterative algorithm; accretive operator; resolvent; zeros; nonexpansive mappings; fixed points; variational inequality; weakly continuous duality mapping; uniformly convex; contractive mapping; weakly contractive mapping; INFINITE PRODUCTS; ZEROS;

D O I：

10.22436/jnsa.009.05.40

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an iterative algorithm for finding a common point of the set of zeros of an accretive operator and the set of fixed points of a nonexpansive mapping is considered in a uniformly convex Banach space having a weakly continuous duality mapping. Under suitable control conditions, strong convergence of the sequence generated by proposed algorithm to a common point of two sets is established. The main theorems develop and complement the recent results announced by researchers in this area. (C) 2016 All rights reserved.

引用

页码：2394 / 2409

页数：16

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