Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application
This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under the rational type fuzzy-contraction conditions in fuzzy metric spaces with illustrative examples to support our results. This new concept will play...
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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/10.1155/2021/6644491 |
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| _version_ | 1849410266312212480 |
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| author | Saif Ur Rehman Ronnason Chinram Chawalit Boonpok |
| author_facet | Saif Ur Rehman Ronnason Chinram Chawalit Boonpok |
| author_sort | Saif Ur Rehman |
| collection | DOAJ |
| description | This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under the rational type fuzzy-contraction conditions in fuzzy metric spaces with illustrative examples to support our results. This new concept will play a very important role in the theory of fuzzy fixed point results and can be generalized for different contractive type mappings in the context of fuzzy metric spaces. Moreover, we present an application of a nonlinear integral type equation to get the existing result for a unique solution to support our work. |
| format | Article |
| id | doaj-art-78239bd95e954d73a9768fe7d3aa02fb |
| 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-78239bd95e954d73a9768fe7d3aa02fb2025-08-20T03:35:11ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66444916644491Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an ApplicationSaif Ur Rehman0Ronnason Chinram1Chawalit Boonpok2Department of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanAlgebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, ThailandMathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, ThailandThis paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under the rational type fuzzy-contraction conditions in fuzzy metric spaces with illustrative examples to support our results. This new concept will play a very important role in the theory of fuzzy fixed point results and can be generalized for different contractive type mappings in the context of fuzzy metric spaces. Moreover, we present an application of a nonlinear integral type equation to get the existing result for a unique solution to support our work.http://dx.doi.org/10.1155/2021/6644491 |
| spellingShingle | Saif Ur Rehman Ronnason Chinram Chawalit Boonpok Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application Journal of Mathematics |
| title | Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application |
| title_full | Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application |
| title_fullStr | Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application |
| title_full_unstemmed | Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application |
| title_short | Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application |
| title_sort | rational type fuzzy contraction results in fuzzy metric spaces with an application |
| url | http://dx.doi.org/10.1155/2021/6644491 |
| work_keys_str_mv | AT saifurrehman rationaltypefuzzycontractionresultsinfuzzymetricspaceswithanapplication AT ronnasonchinram rationaltypefuzzycontractionresultsinfuzzymetricspaceswithanapplication AT chawalitboonpok rationaltypefuzzycontractionresultsinfuzzymetricspaceswithanapplication |