On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

<p/> <p>The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive ma...

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Main Authors: Kang ShinMin, Agarwal RaviP, Qin Xiaolong
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/714860
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spelling doaj-ee7034898a3f4249bc112c3433507bf42020-11-25T00:17:07ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101714860On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive MappingsKang ShinMinAgarwal RaviPQin Xiaolong<p/> <p>The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive mappings. Strong convergence of the purposed iterative process is obtained in the framework of real Banach spaces.</p>http://www.fixedpointtheoryandapplications.com/content/2010/714860
collection DOAJ
language English
format Article
sources DOAJ
author Kang ShinMin
Agarwal RaviP
Qin Xiaolong
spellingShingle Kang ShinMin
Agarwal RaviP
Qin Xiaolong
On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
Fixed Point Theory and Applications
author_facet Kang ShinMin
Agarwal RaviP
Qin Xiaolong
author_sort Kang ShinMin
title On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
title_short On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
title_full On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
title_fullStr On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
title_full_unstemmed On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
title_sort on the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive mappings. Strong convergence of the purposed iterative process is obtained in the framework of real Banach spaces.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/714860
work_keys_str_mv AT kangshinmin ontheconvergenceofanimplicititerativeprocessforgeneralizedasymptoticallyquasinonexpansivemappings
AT agarwalravip ontheconvergenceofanimplicititerativeprocessforgeneralizedasymptoticallyquasinonexpansivemappings
AT qinxiaolong ontheconvergenceofanimplicititerativeprocessforgeneralizedasymptoticallyquasinonexpansivemappings
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