Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

<p/> <p>We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive m...

Full description

Bibliographic Details
Main Authors: Kumam Poom, Wattanawitoon Kriengsak
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/301868
id doaj-d254800d7f6543feb762cf037e9c731b
record_format Article
spelling doaj-d254800d7f6543feb762cf037e9c731b2020-11-25T01:56:00ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101301868Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and SemigroupsKumam PoomWattanawitoon Kriengsak<p/> <p>We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptotically nonexpansive mappings.</p>http://www.fixedpointtheoryandapplications.com/content/2010/301868
collection DOAJ
language English
format Article
sources DOAJ
author Kumam Poom
Wattanawitoon Kriengsak
spellingShingle Kumam Poom
Wattanawitoon Kriengsak
Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
Fixed Point Theory and Applications
author_facet Kumam Poom
Wattanawitoon Kriengsak
author_sort Kumam Poom
title Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
title_short Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
title_full Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
title_fullStr Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
title_full_unstemmed Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups
title_sort strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptotically nonexpansive mappings.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/301868
work_keys_str_mv AT kumampoom strongconvergencetocommonfixedpointsforcountablefamiliesofasymptoticallynonexpansivemappingsandsemigroups
AT wattanawitoonkriengsak strongconvergencetocommonfixedpointsforcountablefamiliesofasymptoticallynonexpansivemappingsandsemigroups
_version_ 1715626187797037056

Similar Items