Best proximity point for proximal berinde nonexpansive mappings on starshaped sets

© 2018, Masarykova Universita. All rights reserved. In this paper, we introduce the new concept of proximal mapping, namely proximal weak contractions and proximal Berinde nonexpansive mappings. We prove the existence of best proximity points for proximal weak contractions in metric spaces, and for...

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Main Authors:	Nuttawut Bunlue, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053085522&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62776
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-62776
record_format	dspace
spelling	th-cmuir.6653943832-627762018-11-29T07:49:08Z Best proximity point for proximal berinde nonexpansive mappings on starshaped sets Nuttawut Bunlue Suthep Suantai Mathematics © 2018, Masarykova Universita. All rights reserved. In this paper, we introduce the new concept of proximal mapping, namely proximal weak contractions and proximal Berinde nonexpansive mappings. We prove the existence of best proximity points for proximal weak contractions in metric spaces, and for proximal Berinde nonexpansive mappings on starshape sets in Banach spaces. Examples supporting our main results are also given. Our main results extend and generalize some of well-known best proximity point theorems of proximal nonexpansive mappings in the literatures. 2018-11-29T07:49:08Z 2018-11-29T07:49:08Z 2018-01-01 Journal 12125059 00448753 2-s2.0-85053085522 10.5817/AM2018-3-165 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053085522&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62776
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Nuttawut Bunlue Suthep Suantai Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
description	© 2018, Masarykova Universita. All rights reserved. In this paper, we introduce the new concept of proximal mapping, namely proximal weak contractions and proximal Berinde nonexpansive mappings. We prove the existence of best proximity points for proximal weak contractions in metric spaces, and for proximal Berinde nonexpansive mappings on starshape sets in Banach spaces. Examples supporting our main results are also given. Our main results extend and generalize some of well-known best proximity point theorems of proximal nonexpansive mappings in the literatures.
format	Journal
author	Nuttawut Bunlue Suthep Suantai
author_facet	Nuttawut Bunlue Suthep Suantai
author_sort	Nuttawut Bunlue
title	Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
title_short	Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
title_full	Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
title_fullStr	Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
title_full_unstemmed	Best proximity point for proximal berinde nonexpansive mappings on starshaped sets
title_sort	best proximity point for proximal berinde nonexpansive mappings on starshaped sets
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053085522&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62776
_version_	1681425870078607360

Best proximity point for proximal berinde nonexpansive mappings on starshaped sets

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