The existence theorem of a new multi-valued mapping in metric space endowed with graph

© 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point...

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Main Authors:	Araya Kheawborisut, Suthep Suantai, Atid Kangtunyakarn
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042228395&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57549
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-57549
record_format	dspace
spelling	th-cmuir.6653943832-575492018-09-05T03:45:29Z The existence theorem of a new multi-valued mapping in metric space endowed with graph Araya Kheawborisut Suthep Suantai Atid Kangtunyakarn Mathematics © 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present. 2018-09-05T03:45:29Z 2018-09-05T03:45:29Z 2017-01-01 Journal 18434401 15842851 2-s2.0-85042228395 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042228395&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57549
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Araya Kheawborisut Suthep Suantai Atid Kangtunyakarn The existence theorem of a new multi-valued mapping in metric space endowed with graph
description	© 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.
format	Journal
author	Araya Kheawborisut Suthep Suantai Atid Kangtunyakarn
author_facet	Araya Kheawborisut Suthep Suantai Atid Kangtunyakarn
author_sort	Araya Kheawborisut
title	The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_short	The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_full	The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_fullStr	The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_full_unstemmed	The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_sort	existence theorem of a new multi-valued mapping in metric space endowed with graph
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042228395&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57549
_version_	1681424899463184384

The existence theorem of a new multi-valued mapping in metric space endowed with graph

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