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:	Kettapun A., Kananthai A., Suantai S.
Format:	Article
Language:	English
Published:	2014
Online Access:	http://www.scopus.com/inward/record.url?eid=2-s2.0-78049265761&partnerID=40&md5=dd36912a505b128695ec5aed6c3a563a http://cmuir.cmu.ac.th/handle/6653943832/6219
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Institution:	Chiang Mai University
Language:	English

id	th-cmuir.6653943832-6219
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spelling	th-cmuir.6653943832-62192014-08-30T03:23:58Z A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces Kettapun A. Kananthai A. Suantai S. 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. 2014-08-30T03:23:58Z 2014-08-30T03:23:58Z 2010 Article 8981221 10.1016/j.camwa.2010.06.025 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-78049265761&partnerID=40&md5=dd36912a505b128695ec5aed6c3a563a http://cmuir.cmu.ac.th/handle/6653943832/6219 English
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
language	English
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	Article
author	Kettapun A. Kananthai A. Suantai S.
spellingShingle	Kettapun A. Kananthai A. Suantai S. A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
author_facet	Kettapun A. Kananthai A. Suantai S.
author_sort	Kettapun A.
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	2014
url	http://www.scopus.com/inward/record.url?eid=2-s2.0-78049265761&partnerID=40&md5=dd36912a505b128695ec5aed6c3a563a http://cmuir.cmu.ac.th/handle/6653943832/6219
_version_	1681420572674752512

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

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