A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions

We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping J , where is a gauge function on [ 0,∞). Our results improve and extend those announced by...

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Main Authors:	Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861047516&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51799
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51799
record_format	dspace
spelling	th-cmuir.6653943832-517992018-09-04T06:09:22Z A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions Kamonrat Nammanee Suthep Suantai Prasit Cholamjiak Mathematics We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping J , where is a gauge function on [ 0,∞). Our results improve and extend those announced by G. Marino and H.-K. Xu (2006) and many authors. Copyright © 2012 Kamonrat Nammanee et al. 2018-09-04T06:09:22Z 2018-09-04T06:09:22Z 2012-05-21 Journal 16870042 1110757X 2-s2.0-84861047516 10.1155/2012/506976 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861047516&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51799
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Kamonrat Nammanee Suthep Suantai Prasit Cholamjiak A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
description	We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping J , where is a gauge function on [ 0,∞). Our results improve and extend those announced by G. Marino and H.-K. Xu (2006) and many authors. Copyright © 2012 Kamonrat Nammanee et al.
format	Journal
author	Kamonrat Nammanee Suthep Suantai Prasit Cholamjiak
author_facet	Kamonrat Nammanee Suthep Suantai Prasit Cholamjiak
author_sort	Kamonrat Nammanee
title	A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
title_short	A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
title_full	A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
title_fullStr	A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
title_full_unstemmed	A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
title_sort	general iterative method for a nonexpansive semigroup in banach spaces with gauge functions
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861047516&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51799
_version_	1681423835088289792

A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions

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