A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs

© 2017, Springer Science+Business Media New York. In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give so...

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Main Authors:	Raweerote Suparatulatorn, Watcharaporn Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58820
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58820
record_format	dspace
spelling	th-cmuir.6653943832-588202018-09-05T04:33:05Z A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs Raweerote Suparatulatorn Watcharaporn Cholamjiak Suthep Suantai Mathematics © 2017, Springer Science+Business Media New York. In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some numerical examples for supporting our main theorem and compare convergence rate between the studied iteration and the Ishikawa iteration. 2018-09-05T04:33:05Z 2018-09-05T04:33:05Z 2018-02-01 Journal 15729265 10171398 2-s2.0-85017126782 10.1007/s11075-017-0324-y https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58820
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Raweerote Suparatulatorn Watcharaporn Cholamjiak Suthep Suantai A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
description	© 2017, Springer Science+Business Media New York. In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some numerical examples for supporting our main theorem and compare convergence rate between the studied iteration and the Ishikawa iteration.
format	Journal
author	Raweerote Suparatulatorn Watcharaporn Cholamjiak Suthep Suantai
author_facet	Raweerote Suparatulatorn Watcharaporn Cholamjiak Suthep Suantai
author_sort	Raweerote Suparatulatorn
title	A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
title_short	A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
title_full	A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
title_fullStr	A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
title_full_unstemmed	A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
title_sort	modified s-iteration process for g-nonexpansive mappings in banach spaces with graphs
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58820
_version_	1681425136814653440

A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs

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