Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces

We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an in...

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Main Authors: Withun Phuengrattana, Suthep Suantai
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84870502668&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/48121
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Institution: Chiang Mai University
id th-cmuir.6653943832-48121
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spelling th-cmuir.6653943832-481212018-04-25T08:47:54Z Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces Withun Phuengrattana Suthep Suantai We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space. © 2012 Elsevier Ltd. 2018-04-25T08:47:54Z 2018-04-25T08:47:54Z 2013-02-01 Journal 08957177 2-s2.0-84870502668 10.1016/j.mcm.2012.01.008 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84870502668&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48121
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space. © 2012 Elsevier Ltd.
format Journal
author Withun Phuengrattana
Suthep Suantai
spellingShingle Withun Phuengrattana
Suthep Suantai
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
author_facet Withun Phuengrattana
Suthep Suantai
author_sort Withun Phuengrattana
title Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
title_short Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
title_full Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
title_fullStr Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
title_full_unstemmed Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
title_sort common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84870502668&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/48121
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