Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces

Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces

Recently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve...

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Main Author: Shuang Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/658905
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spelling doaj-9877f4f19b994b669f6ad534042147e52020-11-24T22:56:11ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/658905658905Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach SpacesShuang Wang0School of Mathematical Sciences, Yancheng Teachers University, Jiangsu, Yancheng 224051, ChinaRecently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve the same system of nonlinear variational inequalities.http://dx.doi.org/10.1155/2012/658905
collection DOAJ
language English
format Article
sources DOAJ
author Shuang Wang
spellingShingle Shuang Wang
Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
Journal of Applied Mathematics
author_facet Shuang Wang
author_sort Shuang Wang
title Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
title_short Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
title_full Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
title_fullStr Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
title_full_unstemmed Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces
title_sort two general algorithms for computing fixed points of nonexpansive mappings in banach spaces
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description Recently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve the same system of nonlinear variational inequalities.
url http://dx.doi.org/10.1155/2012/658905
work_keys_str_mv AT shuangwang twogeneralalgorithmsforcomputingfixedpointsofnonexpansivemappingsinbanachspaces
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