Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces

Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces

We introduced a viscosity iterative scheme for approximating the common zero of two accretive operators in a strictly convex Banach space which has a uniformly Gâteaux differentiable norm. Some strong convergence theorems are proved, which improve and extend the results of Ceng et al. (2009) and som...

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Main Authors: Jun-Min Chen, Tie-Gang Fan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/670523
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spelling doaj-486d5b96d17f410cb28d795d8846a3402020-11-24T22:33:43ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/670523670523Viscosity Approximation Methods for Two Accretive Operators in Banach SpacesJun-Min Chen0Tie-Gang Fan1College of Mathematics and Computer, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, ChinaWe introduced a viscosity iterative scheme for approximating the common zero of two accretive operators in a strictly convex Banach space which has a uniformly Gâteaux differentiable norm. Some strong convergence theorems are proved, which improve and extend the results of Ceng et al. (2009) and some others.http://dx.doi.org/10.1155/2013/670523
collection DOAJ
language English
format Article
sources DOAJ
author Jun-Min Chen
Tie-Gang Fan
spellingShingle Jun-Min Chen
Tie-Gang Fan
Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
Abstract and Applied Analysis
author_facet Jun-Min Chen
Tie-Gang Fan
author_sort Jun-Min Chen
title Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
title_short Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
title_full Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
title_fullStr Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
title_full_unstemmed Viscosity Approximation Methods for Two Accretive Operators in Banach Spaces
title_sort viscosity approximation methods for two accretive operators in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We introduced a viscosity iterative scheme for approximating the common zero of two accretive operators in a strictly convex Banach space which has a uniformly Gâteaux differentiable norm. Some strong convergence theorems are proved, which improve and extend the results of Ceng et al. (2009) and some others.
url http://dx.doi.org/10.1155/2013/670523
work_keys_str_mv AT junminchen viscosityapproximationmethodsfortwoaccretiveoperatorsinbanachspaces
AT tiegangfan viscosityapproximationmethodsfortwoaccretiveoperatorsinbanachspaces
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