Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces

We investigate strong convergence of Halpern's iteration for a countable family of strongly relatively nonexpansive mappings in the framework of uniformly convex and uniformly smooth Banach spaces. Our results extend those announced by many authors.

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Main Authors: Suantai,S., Cholamjiak,P.
Format: Article
Published: Kyungpook National University 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84917733856&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38829
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-388292015-06-16T07:54:20Z Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces Suantai,S. Cholamjiak,P. Applied Mathematics Mathematics (all) We investigate strong convergence of Halpern's iteration for a countable family of strongly relatively nonexpansive mappings in the framework of uniformly convex and uniformly smooth Banach spaces. Our results extend those announced by many authors. 2015-06-16T07:54:20Z 2015-06-16T07:54:20Z 2014-01-01 Article 12256951 2-s2.0-84917733856 10.5666/KMJ.2014.54.3.375 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84917733856&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38829 Kyungpook National University
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Applied Mathematics
Mathematics (all)
spellingShingle Applied Mathematics
Mathematics (all)
Suantai,S.
Cholamjiak,P.
Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
description We investigate strong convergence of Halpern's iteration for a countable family of strongly relatively nonexpansive mappings in the framework of uniformly convex and uniformly smooth Banach spaces. Our results extend those announced by many authors.
format Article
author Suantai,S.
Cholamjiak,P.
author_facet Suantai,S.
Cholamjiak,P.
author_sort Suantai,S.
title Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
title_short Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
title_full Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
title_fullStr Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
title_full_unstemmed Halpern's iteration for strongly relatively nonexpansive mappings in Banach spaces
title_sort halpern's iteration for strongly relatively nonexpansive mappings in banach spaces
publisher Kyungpook National University
publishDate 2015
url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84917733856&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38829
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