Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces

In this paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results...

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Main Authors:	Inthakon,W., Dhompongsa,S., Takahashi,W.
Format:	Article
Published:	Yokohama Publishers 2015
Subjects:	Geometry and Topology Control and Optimization Applied Mathematics Analysis
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84855836668&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38617
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38617
record_format	dspace
spelling	th-cmuir.6653943832-386172015-06-16T07:53:37Z Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces Inthakon,W. Dhompongsa,S. Takahashi,W. Geometry and Topology Control and Optimization Applied Mathematics Analysis In this paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and for generalized nonexpansive mappings in a Banach space. 2015-06-16T07:53:37Z 2015-06-16T07:53:37Z 2010-04-01 Article 13454773 2-s2.0-84855836668 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84855836668&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38617 Yokohama Publishers
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Control and Optimization Applied Mathematics Analysis
spellingShingle	Geometry and Topology Control and Optimization Applied Mathematics Analysis Inthakon,W. Dhompongsa,S. Takahashi,W. Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
description	In this paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and for generalized nonexpansive mappings in a Banach space.
format	Article
author	Inthakon,W. Dhompongsa,S. Takahashi,W.
author_facet	Inthakon,W. Dhompongsa,S. Takahashi,W.
author_sort	Inthakon,W.
title	Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
title_short	Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
title_full	Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
title_fullStr	Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
title_full_unstemmed	Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
title_sort	strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces
publisher	Yokohama Publishers
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84855836668&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38617
_version_	1681421506094039040

Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in banach spaces

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