On Some Fixed Point Results in E−Fuzzy Metric Spaces
In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theor...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9196642 |
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| _version_ | 1832566412277710848 |
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| author | Rachid Mecheraoui Zoran D. Mitrović Vahid Parvaneh Hassen Aydi Naeem Saleem |
| author_facet | Rachid Mecheraoui Zoran D. Mitrović Vahid Parvaneh Hassen Aydi Naeem Saleem |
| author_sort | Rachid Mecheraoui |
| collection | DOAJ |
| description | In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class. |
| format | Article |
| id | doaj-art-7719b97b4940444f89d033f8a37558cf |
| 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-7719b97b4940444f89d033f8a37558cf2025-02-03T01:04:11ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/91966429196642On Some Fixed Point Results in E−Fuzzy Metric SpacesRachid Mecheraoui0Zoran D. Mitrović1Vahid Parvaneh2Hassen Aydi3Naeem Saleem4Department of Mathematics and Informatics, Abbes Laghror University, Khenchela 40000, AlgeriaUniversity of Banja Luka, Faculty of Electrical Engineering, Patre 5, Banja Luka 78000, Bosnia and HerzegovinaDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics (SSC), University of Management and Technology, C-II, Johar Town, Lahore, PakistanIn the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.http://dx.doi.org/10.1155/2021/9196642 |
| spellingShingle | Rachid Mecheraoui Zoran D. Mitrović Vahid Parvaneh Hassen Aydi Naeem Saleem On Some Fixed Point Results in E−Fuzzy Metric Spaces Journal of Mathematics |
| title | On Some Fixed Point Results in E−Fuzzy Metric Spaces |
| title_full | On Some Fixed Point Results in E−Fuzzy Metric Spaces |
| title_fullStr | On Some Fixed Point Results in E−Fuzzy Metric Spaces |
| title_full_unstemmed | On Some Fixed Point Results in E−Fuzzy Metric Spaces |
| title_short | On Some Fixed Point Results in E−Fuzzy Metric Spaces |
| title_sort | on some fixed point results in e fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2021/9196642 |
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