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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Main Author: Bancha Panyanak
Format: Journal
Published: 2020
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/70724
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-707242020-10-14T08:40:04Z Endpoint iterations for some generalized multivalued nonexpansive mappings Bancha Panyanak Mathematics © 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. 2020-10-14T08:40:04Z 2020-10-14T08:40:04Z 2020-01-01 Journal 18805221 13454773 2-s2.0-85091353970 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091353970&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70724
institution Chiang Mai University
building Chiang Mai University Library
continent Asia
country Thailand
Thailand
content_provider Chiang Mai University Library
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Bancha Panyanak
Endpoint iterations for some generalized multivalued nonexpansive mappings
description © 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.
format Journal
author Bancha Panyanak
author_facet Bancha Panyanak
author_sort Bancha Panyanak
title Endpoint iterations for some generalized multivalued nonexpansive mappings
title_short Endpoint iterations for some generalized multivalued nonexpansive mappings
title_full Endpoint iterations for some generalized multivalued nonexpansive mappings
title_fullStr Endpoint iterations for some generalized multivalued nonexpansive mappings
title_full_unstemmed Endpoint iterations for some generalized multivalued nonexpansive mappings
title_sort endpoint iterations for some generalized multivalued nonexpansive mappings
publishDate 2020
url 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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