Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the correspondin...

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Main Authors:	Watcharaporn Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Computer Science Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957920196&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50709
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-507092018-09-04T04:49:19Z Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings Watcharaporn Cholamjiak Suthep Suantai Computer Science Mathematics In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407413] and many others. © 2010 Elsevier Ltd. All rights reserved. 2018-09-04T04:44:35Z 2018-09-04T04:44:35Z 2010-10-01 Journal 08981221 2-s2.0-77957920196 10.1016/j.camwa.2010.07.025 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957920196&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50709
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Mathematics
spellingShingle	Computer Science Mathematics Watcharaporn Cholamjiak Suthep Suantai Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
description	In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407413] and many others. © 2010 Elsevier Ltd. All rights reserved.
format	Journal
author	Watcharaporn Cholamjiak Suthep Suantai
author_facet	Watcharaporn Cholamjiak Suthep Suantai
author_sort	Watcharaporn Cholamjiak
title	Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_short	Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_full	Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_fullStr	Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_full_unstemmed	Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_sort	weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957920196&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50709
_version_	1681423638731948032

Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

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