Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions
In this article, the notion of Hausdorff fuzzy $ b $-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in $ G $-complete fuzzy $ b $-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integ...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023851?viewType=HTML |
| _version_ | 1797817007229370368 |
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| author | Rashid Ali Faisar Mehmood Aqib Saghir Hassen Aydi Saber Mansour Wajdi Kallel |
| author_facet | Rashid Ali Faisar Mehmood Aqib Saghir Hassen Aydi Saber Mansour Wajdi Kallel |
| author_sort | Rashid Ali |
| collection | DOAJ |
| description | In this article, the notion of Hausdorff fuzzy $ b $-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in $ G $-complete fuzzy $ b $-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integral inclusion is constructed as an application of fixed point result which shows the validity of the proved results. The presented outcomes are the generalization of the existing results in literature. |
| first_indexed | 2024-03-13T08:46:57Z |
| format | Article |
| id | doaj.art-539bb8ece37c4c6b92ebd605b47f43bf |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T08:46:57Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-539bb8ece37c4c6b92ebd605b47f43bf2023-05-30T01:33:51ZengAIMS PressAIMS Mathematics2473-69882023-05-0187166331665410.3934/math.2023851Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractionsRashid Ali0Faisar Mehmood1Aqib Saghir 2Hassen Aydi3Saber Mansour 4Wajdi Kallel51. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan, Email: rashid.ali@cust.edu.pk1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan, Email: rashid.ali@cust.edu.pk1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan, Email: rashid.ali@cust.edu.pk2. Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia 3. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa5. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia, Email: samansour@uqu.edu.sa, wfkallel@uqu.edu.sa5. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia, Email: samansour@uqu.edu.sa, wfkallel@uqu.edu.saIn this article, the notion of Hausdorff fuzzy $ b $-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in $ G $-complete fuzzy $ b $-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integral inclusion is constructed as an application of fixed point result which shows the validity of the proved results. The presented outcomes are the generalization of the existing results in literature.https://www.aimspress.com/article/doi/10.3934/math.2023851?viewType=HTMLgeraghty type contractionshausdorff fuzzy $ b $-metric spacefuzzy $ b $-metric spacefuzzy metric space |
| spellingShingle | Rashid Ali Faisar Mehmood Aqib Saghir Hassen Aydi Saber Mansour Wajdi Kallel Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions AIMS Mathematics geraghty type contractions hausdorff fuzzy $ b $-metric space fuzzy $ b $-metric space fuzzy metric space |
| title | Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions |
| title_full | Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions |
| title_fullStr | Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions |
| title_full_unstemmed | Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions |
| title_short | Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions |
| title_sort | solution of integral equations for multivalued maps in fuzzy b metric spaces using geraghty type contractions |
| topic | geraghty type contractions hausdorff fuzzy $ b $-metric space fuzzy $ b $-metric space fuzzy metric space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023851?viewType=HTML |
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