Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications

<p/> <p>Two iterative schemes for finding a common element of the set of zero points of maximal monotone operators and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space are obtained. Two stron...

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Main Authors: Cho YeolJe, Wei Li
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2008/168468
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spelling doaj-1ef2748182bb468ba825b6650ab8ce572020-11-25T00:20:34ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120081168468Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their ApplicationsCho YeolJeWei Li<p/> <p>Two iterative schemes for finding a common element of the set of zero points of maximal monotone operators and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space are obtained. Two strong convergence theorems are obtained which extend some previous work. Moreover, the applications of the iterative schemes are demonstrated.</p>http://www.fixedpointtheoryandapplications.com/content/2008/168468
collection DOAJ
language English
format Article
sources DOAJ
author Cho YeolJe
Wei Li
spellingShingle Cho YeolJe
Wei Li
Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
Fixed Point Theory and Applications
author_facet Cho YeolJe
Wei Li
author_sort Cho YeolJe
title Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
title_short Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
title_full Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
title_fullStr Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
title_full_unstemmed Iterative Schemes for Zero Points of Maximal Monotone Operators and Fixed Points of Nonexpansive Mappings and Their Applications
title_sort iterative schemes for zero points of maximal monotone operators and fixed points of nonexpansive mappings and their applications
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2007-01-01
description <p/> <p>Two iterative schemes for finding a common element of the set of zero points of maximal monotone operators and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space are obtained. Two strong convergence theorems are obtained which extend some previous work. Moreover, the applications of the iterative schemes are demonstrated.</p>
url http://www.fixedpointtheoryandapplications.com/content/2008/168468
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AT weili iterativeschemesforzeropointsofmaximalmonotoneoperatorsandfixedpointsofnonexpansivemappingsandtheirapplications
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