A new hybrid algorithm for global minimization of best proximity points in hilbert spaces

© 2019, SINUS Association. All rights reserved. The purpose of this paper is to introduce a new hybrid algorithm for finding a global minimization of best proximity points for a new class of mappings, called best proximally nonexpansive (BPNE), which is weaker than nonself nonexpansive mappings and...

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Main Authors:	Raweerote Suparatulatorn, Suthep Suantai
Format:	Journal
Published:	2019
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063622889&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65693
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-65693
record_format	dspace
spelling	th-cmuir.6653943832-656932019-08-05T04:39:38Z A new hybrid algorithm for global minimization of best proximity points in hilbert spaces Raweerote Suparatulatorn Suthep Suantai Mathematics © 2019, SINUS Association. All rights reserved. The purpose of this paper is to introduce a new hybrid algorithm for finding a global minimization of best proximity points for a new class of mappings, called best proximally nonexpansive (BPNE), which is weaker than nonself nonexpansive mappings and then prove strong convergence of the proposed method under some suitable conditions in real Hilbert spaces. Finally, some numerical experiment is also given for demonstrating our main result. 2019-08-05T04:39:38Z 2019-08-05T04:39:38Z 2019-01-01 Journal 18434401 15842851 2-s2.0-85063622889 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063622889&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65693
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Raweerote Suparatulatorn Suthep Suantai A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
description	© 2019, SINUS Association. All rights reserved. The purpose of this paper is to introduce a new hybrid algorithm for finding a global minimization of best proximity points for a new class of mappings, called best proximally nonexpansive (BPNE), which is weaker than nonself nonexpansive mappings and then prove strong convergence of the proposed method under some suitable conditions in real Hilbert spaces. Finally, some numerical experiment is also given for demonstrating our main result.
format	Journal
author	Raweerote Suparatulatorn Suthep Suantai
author_facet	Raweerote Suparatulatorn Suthep Suantai
author_sort	Raweerote Suparatulatorn
title	A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
title_short	A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
title_full	A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
title_fullStr	A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
title_full_unstemmed	A new hybrid algorithm for global minimization of best proximity points in hilbert spaces
title_sort	new hybrid algorithm for global minimization of best proximity points in hilbert spaces
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063622889&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65693
_version_	1681426316437487616

A new hybrid algorithm for global minimization of best proximity points in hilbert spaces

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