Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs

© 2018, SINUS Association. All rights reserved. In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the li...

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Main Authors:	Chalongchai Klanarong, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047738445&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58832
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58832
record_format	dspace
spelling	th-cmuir.6653943832-588322018-09-05T04:33:13Z Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs Chalongchai Klanarong Suthep Suantai Mathematics © 2018, SINUS Association. All rights reserved. In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the literatures. As a special case of the main results, the best proximity point theorems on partially ordered sets are obtained. 2018-09-05T04:33:13Z 2018-09-05T04:33:13Z 2018-01-01 Journal 18434401 15842851 2-s2.0-85047738445 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047738445&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58832
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chalongchai Klanarong Suthep Suantai Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
description	© 2018, SINUS Association. All rights reserved. In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the literatures. As a special case of the main results, the best proximity point theorems on partially ordered sets are obtained.
format	Journal
author	Chalongchai Klanarong Suthep Suantai
author_facet	Chalongchai Klanarong Suthep Suantai
author_sort	Chalongchai Klanarong
title	Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
title_short	Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
title_full	Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
title_fullStr	Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
title_full_unstemmed	Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
title_sort	best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047738445&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58832
_version_	1681425138970525696

Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs

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