An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

<p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.&l...

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Main Authors: Qin Xiaolong, Kang Shin, Agarwal Ravi
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/58
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author Qin Xiaolong
Kang Shin
Agarwal Ravi
author_facet Qin Xiaolong
Kang Shin
Agarwal Ravi
author_sort Qin Xiaolong
collection DOAJ
description <p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.</p> <p> <b>Mathematics Subject Classification (2000) </b>47H09 &#183; 47H10 &#183; 47J25</p>
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1687-1812
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spelling doaj.art-99821162b34b47f58cdc7a4cd4dad51f2022-12-21T17:16:17ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011158An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappingsQin XiaolongKang ShinAgarwal Ravi<p>Abstract</p> <p>In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm.</p> <p> <b>Mathematics Subject Classification (2000) </b>47H09 &#183; 47H10 &#183; 47J25</p>http://www.fixedpointtheoryandapplications.com/content/2011/1/58Asymptotically nonexpansive mappingcommon fixed pointimplicit iterative algorithmgeneralized asymptotically nonexpansive mapping
spellingShingle Qin Xiaolong
Kang Shin
Agarwal Ravi
An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
Fixed Point Theory and Applications
Asymptotically nonexpansive mapping
common fixed point
implicit iterative algorithm
generalized asymptotically nonexpansive mapping
title An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
title_full An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
title_fullStr An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
title_full_unstemmed An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
title_short An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
title_sort implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
topic Asymptotically nonexpansive mapping
common fixed point
implicit iterative algorithm
generalized asymptotically nonexpansive mapping
url http://www.fixedpointtheoryandapplications.com/content/2011/1/58
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AT kangshin animplicititerativealgorithmwitherrorsfortwofamiliesofgeneralizedasymptoticallynonexpansivemappings
AT agarwalravi animplicititerativealgorithmwitherrorsfortwofamiliesofgeneralizedasymptoticallynonexpansivemappings
AT qinxiaolong implicititerativealgorithmwitherrorsfortwofamiliesofgeneralizedasymptoticallynonexpansivemappings
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