Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition

© 2019, © 2019 Taylor & Francis Group, LLC. In this paper, we introduce the class of diametrically regular mappings and prove that it includes the class of multi-valued mappings having endpoints. We also prove the existence of endpoints and the convergence of an iterative process for mappings...

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Main Authors: B. Panyanak, S. Suantai
Format: Journal
Published: 2020
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/68322
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Institution: Chiang Mai University
id th-cmuir.6653943832-68322
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spelling th-cmuir.6653943832-683222020-04-02T15:27:39Z Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition B. Panyanak S. Suantai Computer Science Mathematics © 2019, © 2019 Taylor & Francis Group, LLC. In this paper, we introduce the class of diametrically regular mappings and prove that it includes the class of multi-valued mappings having endpoints. We also prove the existence of endpoints and the convergence of an iterative process for mappings of this class. Our approach provides a new idea of proving Browder’s theorem without the endpoint condition. 2020-04-02T15:25:06Z 2020-04-02T15:25:06Z 2020-03-11 Journal 15322467 01630563 2-s2.0-85074526668 10.1080/01630563.2019.1680562 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074526668&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68322
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
B. Panyanak
S. Suantai
Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
description © 2019, © 2019 Taylor & Francis Group, LLC. In this paper, we introduce the class of diametrically regular mappings and prove that it includes the class of multi-valued mappings having endpoints. We also prove the existence of endpoints and the convergence of an iterative process for mappings of this class. Our approach provides a new idea of proving Browder’s theorem without the endpoint condition.
format Journal
author B. Panyanak
S. Suantai
author_facet B. Panyanak
S. Suantai
author_sort B. Panyanak
title Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
title_short Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
title_full Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
title_fullStr Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
title_full_unstemmed Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
title_sort diametrically regular mappings and browder’s theorem without the endpoint condition
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074526668&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68322
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