Strong convergence theorems for finitely many nonexpansive mappings

被引：0

作者：

Song, Yisheng ^{[1
]}

Zuo, Hongliang ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

关键词：

Non-expansive mappings; Weakly continuous duality mapping; BANACH-SPACES; FIXED-POINTS; ACCRETIVE-OPERATORS; NONLINEAR OPERATORS; SEMIGROUPS; SEQUENCES;

D O I：

10.1016/j.na.2008.02.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the assumption that E is a reflexive Banach space whose norm is uniformly Geteaux differentiable and which has a weakly continuous duality mapping J(phi) with gauge function phi, Ceng-Cubiotti-Yao [Strong convergence theorems for finitely many, nonexpansive mappings and applications, Nonlinear Analysis 67 (2007) 1464-1473] introduced a new iterative scheme for,I finite commuting family of nonexpansive mappings, and proved strong convergence theorems about this iteration. In this paper, only under the hypothesis that E is a reflexive Banach space which has a weakly continuous duality mapping J(phi) with gauge function phi, and several control conditions about the iterative coefficient arc removed, we present a short and simple proof of the above theorem. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1797 / 1802

页数：6

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