Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations
The purpose of this article is to introduce locally α-ζ-multivalued contraction and rational Ćirić type α-ζ-multivalued contraction in the context of F-metric spaces and prove some endpoint results. We provide a nontrivial example to show the authenticity of our main result. Our results generalize s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3739382 |
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| _version_ | 1832565529737428992 |
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| author | Nabil Mlaiki Jamshaid Ahmad Abdullah Eqal Al-Mazrooei |
| author_facet | Nabil Mlaiki Jamshaid Ahmad Abdullah Eqal Al-Mazrooei |
| author_sort | Nabil Mlaiki |
| collection | DOAJ |
| description | The purpose of this article is to introduce locally α-ζ-multivalued contraction and rational Ćirić type α-ζ-multivalued contraction in the context of F-metric spaces and prove some endpoint results. We provide a nontrivial example to show the authenticity of our main result. Our results generalize some well-known results of literature. We also present some endpoint results in both graphic F-metric spaces and ordered F-metric spaces. As an application of our main result, we investigate the solution of an integral equation. |
| format | Article |
| id | doaj-art-c3754944ee704f3a8d830f07623acfd1 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c3754944ee704f3a8d830f07623acfd12025-02-03T01:07:22ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3739382Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral EquationsNabil Mlaiki0Jamshaid Ahmad1Abdullah Eqal Al-Mazrooei2Department of Mathematics and SciencesDepartment of MathematicsDepartment of MathematicsThe purpose of this article is to introduce locally α-ζ-multivalued contraction and rational Ćirić type α-ζ-multivalued contraction in the context of F-metric spaces and prove some endpoint results. We provide a nontrivial example to show the authenticity of our main result. Our results generalize some well-known results of literature. We also present some endpoint results in both graphic F-metric spaces and ordered F-metric spaces. As an application of our main result, we investigate the solution of an integral equation.http://dx.doi.org/10.1155/2022/3739382 |
| spellingShingle | Nabil Mlaiki Jamshaid Ahmad Abdullah Eqal Al-Mazrooei Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations Journal of Function Spaces |
| title | Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations |
| title_full | Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations |
| title_fullStr | Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations |
| title_full_unstemmed | Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations |
| title_short | Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations |
| title_sort | endpoints of generalized contractions in f metric spaces with application to integral equations |
| url | http://dx.doi.org/10.1155/2022/3739382 |
| work_keys_str_mv | AT nabilmlaiki endpointsofgeneralizedcontractionsinfmetricspaceswithapplicationtointegralequations AT jamshaidahmad endpointsofgeneralizedcontractionsinfmetricspaceswithapplicationtointegralequations AT abdullaheqalalmazrooei endpointsofgeneralizedcontractionsinfmetricspaceswithapplicationtointegralequations |