Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions

In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theore...

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Main Authors:	Prasit Cholamjiak, Yeol Je Cho, Suthep Suantai
Format:	Journal
Published:	2018
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47873
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-47873
record_format	dspace
spelling	th-cmuir.6653943832-478732018-04-25T08:45:03Z Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions Prasit Cholamjiak Yeol Je Cho Suthep Suantai In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established. 2018-04-25T08:45:03Z 2018-04-25T08:45:03Z 2013-06-06 Journal 18440835 12241784 2-s2.0-84878464545 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47873
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
description	In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established.
format	Journal
author	Prasit Cholamjiak Yeol Je Cho Suthep Suantai
spellingShingle	Prasit Cholamjiak Yeol Je Cho Suthep Suantai Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
author_facet	Prasit Cholamjiak Yeol Je Cho Suthep Suantai
author_sort	Prasit Cholamjiak
title	Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
title_short	Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
title_full	Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
title_fullStr	Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
title_full_unstemmed	Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
title_sort	strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47873
_version_	1681423143938293760

Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions

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