Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings

In this paper, weak and strong convergence theorems are established for a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. Mann-type and Ishikawa -type iterations are included by the new iterative scheme. The results obtained in this paper extend and improve the...

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Main Author: Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/62290
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-622902018-09-11T09:25:12Z Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings Suthep Suantai Mathematics In this paper, weak and strong convergence theorems are established for a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. Mann-type and Ishikawa -type iterations are included by the new iterative scheme. The results obtained in this paper extend and improve the recent ones announced by Xu and Noor, Glowinski and Le Tallec, Noor, Ishikawa, and many others. © 2005 Elsevier Inc. All rights reserved. 2018-09-11T09:25:12Z 2018-09-11T09:25:12Z 2005-11-15 Journal 0022247X 2-s2.0-25144481774 10.1016/j.jmaa.2005.03.002 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=25144481774&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62290
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Suthep Suantai
Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
description In this paper, weak and strong convergence theorems are established for a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. Mann-type and Ishikawa -type iterations are included by the new iterative scheme. The results obtained in this paper extend and improve the recent ones announced by Xu and Noor, Glowinski and Le Tallec, Noor, Ishikawa, and many others. © 2005 Elsevier Inc. All rights reserved.
format Journal
author Suthep Suantai
author_facet Suthep Suantai
author_sort Suthep Suantai
title Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
title_short Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
title_full Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
title_fullStr Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
title_full_unstemmed Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
title_sort weak and strong convergence criteria of noor iterations for asymptotically nonexpansive mappings
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=25144481774&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62290
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