Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces

Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces

© 2019, Springer Nature B.V. In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions in real Hilbert space...

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Main Authors: Raweerote Suparatulatorn, Watcharaporn Cholamjiak, Suthep Suantai
Format: Journal
Published: 2019
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85061201855&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63687
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Institution: Chiang Mai University
id th-cmuir.6653943832-63687
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spelling th-cmuir.6653943832-636872019-03-18T02:24:02Z Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces Raweerote Suparatulatorn Watcharaporn Cholamjiak Suthep Suantai Mathematics © 2019, Springer Nature B.V. In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions in real Hilbert spaces. Furthermore, we also provide numerical experiment to illustrate the convergence behavior of our proposed algorithm. 2019-03-18T02:24:02Z 2019-03-18T02:24:02Z 2019-01-01 Journal 15729036 01678019 2-s2.0-85061201855 10.1007/s10440-019-00242-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85061201855&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63687
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Raweerote Suparatulatorn
Watcharaporn Cholamjiak
Suthep Suantai
Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
description © 2019, Springer Nature B.V. In order to solve global minimization problems involving best proximity points, we introduce general Mann algorithm for nonself nonexpansive mappings and then prove weak and strong convergence of the proposed algorithm under some suitable conditions in real Hilbert spaces. Furthermore, we also provide numerical experiment to illustrate the convergence behavior of our proposed algorithm.
format Journal
author Raweerote Suparatulatorn
Watcharaporn Cholamjiak
Suthep Suantai
author_facet Raweerote Suparatulatorn
Watcharaporn Cholamjiak
Suthep Suantai
author_sort Raweerote Suparatulatorn
title Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
title_short Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
title_full Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
title_fullStr Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
title_full_unstemmed Existence and Convergence Theorems for Global Minimization of Best Proximity Points in Hilbert Spaces
title_sort existence and convergence theorems for global minimization of best proximity points in hilbert spaces
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85061201855&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63687
_version_ 1681425941742485504

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