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
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52766
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-52766
record_format	dspace
spelling	th-cmuir.6653943832-527662018-09-04T09:31:52Z Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions Prasit Cholamjiak Yeol Je Cho Suthep Suantai Mathematics 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. 2018-09-04T09:31:52Z 2018-09-04T09:31:52Z 2013-01-01 Journal 18440835 12241784 2-s2.0-84878464545 10.2478/auom-2013-0011 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52766
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Yeol Je Cho Suthep Suantai Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
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
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/6653943832/52766
_version_	1681424011059265536

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

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