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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Bibliographic Details
Main Author: Suthep Suantai
Format: Journal
Published: 2018
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Online Access: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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Institution: Chiang Mai University
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Summary: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.