Control Fuzzy Metric Spaces via Orthogonality with an Application
In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An applicatio...
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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/10.1155/2021/5551833 |
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| _version_ | 1850222714534494208 |
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| author | Fahim Uddin Khalil Javed Hassen Aydi Umar Ishtiaq Muhammad Arshad |
| author_facet | Fahim Uddin Khalil Javed Hassen Aydi Umar Ishtiaq Muhammad Arshad |
| author_sort | Fahim Uddin |
| collection | DOAJ |
| description | In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature. |
| format | Article |
| id | doaj-art-6ff06a1bffce44c19ab2d55ecedcf8de |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6ff06a1bffce44c19ab2d55ecedcf8de2025-08-20T02:06:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55518335551833Control Fuzzy Metric Spaces via Orthogonality with an ApplicationFahim Uddin0Khalil Javed1Hassen Aydi2Umar Ishtiaq3Muhammad Arshad4Department of Math and Stats, International Islamic University Islamabad, Islamabad, PakistanDepartment of Math and Stats, International Islamic University Islamabad, Islamabad, PakistanInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, TunisiaDepartment of Math and Stats, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanIn this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature.http://dx.doi.org/10.1155/2021/5551833 |
| spellingShingle | Fahim Uddin Khalil Javed Hassen Aydi Umar Ishtiaq Muhammad Arshad Control Fuzzy Metric Spaces via Orthogonality with an Application Journal of Mathematics |
| title | Control Fuzzy Metric Spaces via Orthogonality with an Application |
| title_full | Control Fuzzy Metric Spaces via Orthogonality with an Application |
| title_fullStr | Control Fuzzy Metric Spaces via Orthogonality with an Application |
| title_full_unstemmed | Control Fuzzy Metric Spaces via Orthogonality with an Application |
| title_short | Control Fuzzy Metric Spaces via Orthogonality with an Application |
| title_sort | control fuzzy metric spaces via orthogonality with an application |
| url | http://dx.doi.org/10.1155/2021/5551833 |
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