Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications

In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θη-contraction and Γα-contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. At the end, we will give...

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Main Authors: Amjad Ali, Monairah Alansari, Fahim Uddin, Muhammad Arshad, Awais Asif, Ghada Ali Basendwah
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6612448
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author Amjad Ali
Monairah Alansari
Fahim Uddin
Muhammad Arshad
Awais Asif
Ghada Ali Basendwah
author_facet Amjad Ali
Monairah Alansari
Fahim Uddin
Muhammad Arshad
Awais Asif
Ghada Ali Basendwah
author_sort Amjad Ali
collection DOAJ
description In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θη-contraction and Γα-contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.
format Article
id doaj-art-e9d499506fcf48eb8858131cdc99ad95
institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-e9d499506fcf48eb8858131cdc99ad952025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66124486612448Set-Valued SU-Type Fixed Point Theorems via Gauge Function with ApplicationsAmjad Ali0Monairah Alansari1Fahim Uddin2Muhammad Arshad3Awais Asif4Ghada Ali Basendwah5Department of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θη-contraction and Γα-contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.http://dx.doi.org/10.1155/2021/6612448
spellingShingle Amjad Ali
Monairah Alansari
Fahim Uddin
Muhammad Arshad
Awais Asif
Ghada Ali Basendwah
Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
Journal of Mathematics
title Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
title_full Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
title_fullStr Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
title_full_unstemmed Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
title_short Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
title_sort set valued su type fixed point theorems via gauge function with applications
url http://dx.doi.org/10.1155/2021/6612448
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AT fahimuddin setvaluedsutypefixedpointtheoremsviagaugefunctionwithapplications
AT muhammadarshad setvaluedsutypefixedpointtheoremsviagaugefunctionwithapplications
AT awaisasif setvaluedsutypefixedpointtheoremsviagaugefunctionwithapplications
AT ghadaalibasendwah setvaluedsutypefixedpointtheoremsviagaugefunctionwithapplications