A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known res...

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Main Authors:	Atichart Kettapun, Amnuay Kananthai, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Computer Science Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78049265761&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50735
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50735
record_format	dspace
spelling	th-cmuir.6653943832-507352018-09-04T04:49:44Z A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces Atichart Kettapun Amnuay Kananthai Suthep Suantai Computer Science Mathematics In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known results in the current literature. © 2010 Elsevier Ltd. All rights reserved. 2018-09-04T04:44:51Z 2018-09-04T04:44:51Z 2010-01-01 Journal 08981221 2-s2.0-78049265761 10.1016/j.camwa.2010.06.025 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78049265761&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50735
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Mathematics
spellingShingle	Computer Science Mathematics Atichart Kettapun Amnuay Kananthai Suthep Suantai A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
description	In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known results in the current literature. © 2010 Elsevier Ltd. All rights reserved.
format	Journal
author	Atichart Kettapun Amnuay Kananthai Suthep Suantai
author_facet	Atichart Kettapun Amnuay Kananthai Suthep Suantai
author_sort	Atichart Kettapun
title	A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
title_short	A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
title_full	A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
title_fullStr	A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
title_full_unstemmed	A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
title_sort	new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78049265761&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50735
_version_	1681423643418034176

A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

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