Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs

© 2018, University of Nis. All rights reserved. In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Mo...

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Main Authors:	Phikul Sridarat, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048027601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58833
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58833
record_format	dspace
spelling	th-cmuir.6653943832-588332018-09-05T04:33:14Z Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs Phikul Sridarat Suthep Suantai Mathematics © 2018, University of Nis. All rights reserved. In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Moreover, some examples illustrating our main result are also given. The obtained result extends and generalizes several fixed point results of multi-valued mappings in the literature. We apply our main result to obtain common fixed point results for two multi-valued mappings in ε-chainable complete metric spaces and two cyclic contraction multi-valued mappings. 2018-09-05T04:33:14Z 2018-09-05T04:33:14Z 2018-01-01 Journal 03545180 2-s2.0-85048027601 10.2298/FIL1802671S https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048027601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58833
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Phikul Sridarat Suthep Suantai Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
description	© 2018, University of Nis. All rights reserved. In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Moreover, some examples illustrating our main result are also given. The obtained result extends and generalizes several fixed point results of multi-valued mappings in the literature. We apply our main result to obtain common fixed point results for two multi-valued mappings in ε-chainable complete metric spaces and two cyclic contraction multi-valued mappings.
format	Journal
author	Phikul Sridarat Suthep Suantai
author_facet	Phikul Sridarat Suthep Suantai
author_sort	Phikul Sridarat
title	Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
title_short	Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
title_full	Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
title_fullStr	Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
title_full_unstemmed	Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
title_sort	common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048027601&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58833
_version_	1681425139146686464

Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs

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