New Fixed Point Results via a Graph Structure

The main aim of this paper is to introduce and study some fixed point results for rational multivalued <i>G</i>-contraction and <i>F</i>-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.

Bibliographic Details
Main Authors: Özlem Acar, Hassen Aydi, Manuel De la Sen
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/9/1013
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author Özlem Acar
Hassen Aydi
Manuel De la Sen
author_facet Özlem Acar
Hassen Aydi
Manuel De la Sen
author_sort Özlem Acar
collection DOAJ
description The main aim of this paper is to introduce and study some fixed point results for rational multivalued <i>G</i>-contraction and <i>F</i>-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.
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spelling doaj.art-2eb584dbab4e4b6ea5fc879d655b9b9b2023-11-21T17:49:12ZengMDPI AGMathematics2227-73902021-04-0199101310.3390/math9091013New Fixed Point Results via a Graph StructureÖzlem Acar0Hassen Aydi1Manuel De la Sen2Department of Mathematics, Faculty of Science, Selçuk University, Selçuklu, 42003 Konya, TurkeyInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, 4000 H. Sousse, TunisiaInstitute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia)—Aptdo, 644—Bilbao, 48080 Bilbao, SpainThe main aim of this paper is to introduce and study some fixed point results for rational multivalued <i>G</i>-contraction and <i>F</i>-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.https://www.mdpi.com/2227-7390/9/9/1013fixed pointdirected graphmetric spacemultivalued map
spellingShingle Özlem Acar
Hassen Aydi
Manuel De la Sen
New Fixed Point Results via a Graph Structure
Mathematics
fixed point
directed graph
metric space
multivalued map
title New Fixed Point Results via a Graph Structure
title_full New Fixed Point Results via a Graph Structure
title_fullStr New Fixed Point Results via a Graph Structure
title_full_unstemmed New Fixed Point Results via a Graph Structure
title_short New Fixed Point Results via a Graph Structure
title_sort new fixed point results via a graph structure
topic fixed point
directed graph
metric space
multivalued map
url https://www.mdpi.com/2227-7390/9/9/1013
work_keys_str_mv AT ozlemacar newfixedpointresultsviaagraphstructure
AT hassenaydi newfixedpointresultsviaagraphstructure
AT manueldelasen newfixedpointresultsviaagraphstructure