Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications
In this work, we initiate the notion of a fuzzy cyclic (α,β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained re...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023338?viewType=HTML |
| _version_ | 1811176130714009600 |
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| author | Haitham Qawaqneh Mohd Salmi Md Noorani Hassen Aydi |
| author_facet | Haitham Qawaqneh Mohd Salmi Md Noorani Hassen Aydi |
| author_sort | Haitham Qawaqneh |
| collection | DOAJ |
| description | In this work, we initiate the notion of a fuzzy cyclic (α,β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation. |
| first_indexed | 2024-04-10T19:47:12Z |
| format | Article |
| id | doaj.art-3d9ddb28ef7244239a6ea3cb91e118b5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:47:12Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3d9ddb28ef7244239a6ea3cb91e118b52023-01-29T02:26:10ZengAIMS PressAIMS Mathematics2473-69882023-01-01836682669610.3934/math.2023338Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applicationsHaitham Qawaqneh 0Mohd Salmi Md Noorani 1Hassen Aydi 21. Department of Mathematics, Faculty of Science and Information Technology, Al-Zaytoonah University of Jordan, Amman 11733, Jordan2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South AfricaIn this work, we initiate the notion of a fuzzy cyclic (α,β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.https://www.aimspress.com/article/doi/10.3934/math.2023338?viewType=HTMLfuzzy b-metric spacesimulation functionfixed pointintegral equation |
| spellingShingle | Haitham Qawaqneh Mohd Salmi Md Noorani Hassen Aydi Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications AIMS Mathematics fuzzy b-metric space simulation function fixed point integral equation |
| title | Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications |
| title_full | Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications |
| title_fullStr | Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications |
| title_full_unstemmed | Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications |
| title_short | Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications |
| title_sort | some new characterizations and results for fuzzy contractions in fuzzy b metric spaces and applications |
| topic | fuzzy b-metric space simulation function fixed point integral equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023338?viewType=HTML |
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