Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Final...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6663707 |
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| _version_ | 1832561327509340160 |
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| author | Khalil Javed Fahim Uddin Hassen Aydi Aiman Mukheimer Muhammad Arshad |
| author_facet | Khalil Javed Fahim Uddin Hassen Aydi Aiman Mukheimer Muhammad Arshad |
| author_sort | Khalil Javed |
| collection | DOAJ |
| description | The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation. |
| format | Article |
| id | doaj-art-ec2e7bbdbf1349dfb70c3c35be3f2fed |
| 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-ec2e7bbdbf1349dfb70c3c35be3f2fed2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66637076663707Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an ApplicationKhalil Javed0Fahim Uddin1Hassen Aydi2Aiman Mukheimer3Muhammad Arshad4Department of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanUniversité de Sousse, Institut Supérieur dínformatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanThe aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.http://dx.doi.org/10.1155/2021/6663707 |
| spellingShingle | Khalil Javed Fahim Uddin Hassen Aydi Aiman Mukheimer Muhammad Arshad Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application Journal of Mathematics |
| title | Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application |
| title_full | Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application |
| title_fullStr | Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application |
| title_full_unstemmed | Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application |
| title_short | Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application |
| title_sort | ordered theoretic fixed point results in fuzzy b metric spaces with an application |
| url | http://dx.doi.org/10.1155/2021/6663707 |
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