The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces

© Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives...

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Main Author: Bancha Panyanak
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/55965
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-559652018-09-05T03:06:39Z The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces Bancha Panyanak Mathematics © Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives an affirmative answer to a question raised by Kirk (2003). 2018-09-05T03:06:39Z 2018-09-05T03:06:39Z 2016-01-01 Journal 18805221 13454773 2-s2.0-85012994946 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012994946&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55965
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Bancha Panyanak
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
description © Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives an affirmative answer to a question raised by Kirk (2003).
format Journal
author Bancha Panyanak
author_facet Bancha Panyanak
author_sort Bancha Panyanak
title The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
title_short The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
title_full The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
title_fullStr The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
title_full_unstemmed The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
title_sort demiclosed principle for multi-valued nonexpansive mappings in banach spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012994946&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55965
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