Endpoint iterations for some generalized multivalued nonexpansive mappings

© 2020 Yokohama Publications. All rights reserved. In this paper, we introduce a new class of multivalued mappings which is more general than the class of quasi-nonexpansive mappings. We also show that if T is a mapping in this class, then the sequence of Ishikawa iterates defined by Shahzad and Zeg...

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Bibliographic Details
Main Author: Bancha Panyanak
Format: Journal
Published: 2020
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091353970&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70724
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Institution: Chiang Mai University
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Summary:© 2020 Yokohama Publications. All rights reserved. In this paper, we introduce a new class of multivalued mappings which is more general than the class of quasi-nonexpansive mappings. We also show that if T is a mapping in this class, then the sequence of Ishikawa iterates defined by Shahzad and Zegeye (2009) converges to an endpoint of T if and only if T satisfies the endpoint condition.