A note on homotopic invariance for endpoints of multi-valued contractive mappings

© 2020 by TJM. All rights reserved. In this paper, we prove the homotopic invariance for endpoints of multi-valued contractive mappings in Banach spaces. We also give an example to illustrate the main result. At the same time, a question raised in [B. Panyanak, The demiclosed principle for multi-val...

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Main Author: Bancha Panyanak
Format: Journal
Published: 2020
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-707092020-10-14T08:39:43Z A note on homotopic invariance for endpoints of multi-valued contractive mappings Bancha Panyanak Mathematics © 2020 by TJM. All rights reserved. In this paper, we prove the homotopic invariance for endpoints of multi-valued contractive mappings in Banach spaces. We also give an example to illustrate the main result. At the same time, a question raised in [B. Panyanak, The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces, J. Nonlinear Convex Anal. 17 (2016) 2063–2070] is answered in the negative. 2020-10-14T08:39:43Z 2020-10-14T08:39:43Z 2020-06-01 Journal 16860209 2-s2.0-85087296370 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85087296370&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70709
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
A note on homotopic invariance for endpoints of multi-valued contractive mappings
description © 2020 by TJM. All rights reserved. In this paper, we prove the homotopic invariance for endpoints of multi-valued contractive mappings in Banach spaces. We also give an example to illustrate the main result. At the same time, a question raised in [B. Panyanak, The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces, J. Nonlinear Convex Anal. 17 (2016) 2063–2070] is answered in the negative.
format Journal
author Bancha Panyanak
author_facet Bancha Panyanak
author_sort Bancha Panyanak
title A note on homotopic invariance for endpoints of multi-valued contractive mappings
title_short A note on homotopic invariance for endpoints of multi-valued contractive mappings
title_full A note on homotopic invariance for endpoints of multi-valued contractive mappings
title_fullStr A note on homotopic invariance for endpoints of multi-valued contractive mappings
title_full_unstemmed A note on homotopic invariance for endpoints of multi-valued contractive mappings
title_sort note on homotopic invariance for endpoints of multi-valued contractive mappings
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85087296370&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70709
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