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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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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