Endpoints of multivalued nonexpansive mappings in geodesic spaces

© 2015, Panyanak. Let X be either a uniformly convex Banach space or a reflexive Banach space having the Opial property. It is shown that a multivalued nonexpansive mapping on a bounded closed convex subset of X has an endpoint if and only if it has the approximate endpoint property. This is the fir...

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Main Author:	Bancha Panyanak
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84940640046&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54629
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-54629
record_format	dspace
spelling	th-cmuir.6653943832-546292018-09-04T10:19:02Z Endpoints of multivalued nonexpansive mappings in geodesic spaces Bancha Panyanak Mathematics © 2015, Panyanak. Let X be either a uniformly convex Banach space or a reflexive Banach space having the Opial property. It is shown that a multivalued nonexpansive mapping on a bounded closed convex subset of X has an endpoint if and only if it has the approximate endpoint property. This is the first result regarding the existence of endpoints for such kind of mappings even in Hilbert spaces. The related result in a complete CAT(0) space is also given. 2018-09-04T10:19:02Z 2018-09-04T10:19:02Z 2015-12-02 Journal 16871812 16871820 2-s2.0-84940640046 10.1186/s13663-015-0398-y https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84940640046&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54629
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Bancha Panyanak Endpoints of multivalued nonexpansive mappings in geodesic spaces
description	© 2015, Panyanak. Let X be either a uniformly convex Banach space or a reflexive Banach space having the Opial property. It is shown that a multivalued nonexpansive mapping on a bounded closed convex subset of X has an endpoint if and only if it has the approximate endpoint property. This is the first result regarding the existence of endpoints for such kind of mappings even in Hilbert spaces. The related result in a complete CAT(0) space is also given.
format	Journal
author	Bancha Panyanak
author_facet	Bancha Panyanak
author_sort	Bancha Panyanak
title	Endpoints of multivalued nonexpansive mappings in geodesic spaces
title_short	Endpoints of multivalued nonexpansive mappings in geodesic spaces
title_full	Endpoints of multivalued nonexpansive mappings in geodesic spaces
title_fullStr	Endpoints of multivalued nonexpansive mappings in geodesic spaces
title_full_unstemmed	Endpoints of multivalued nonexpansive mappings in geodesic spaces
title_sort	endpoints of multivalued nonexpansive mappings in geodesic spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84940640046&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54629
_version_	1681424355995680768

Endpoints of multivalued nonexpansive mappings in geodesic spaces

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