A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces
The key objective of this research article includes the study of some rational type coincidence point and deriving common fixed point (CFP) results for rational type weakly-compatible three self-mappings in fuzzy metric (FM) space. The “triangular property of FM” is used as a fundamental tool. Moreo...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6123154 |
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| author | Iqra Shamas Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_facet | Iqra Shamas Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_sort | Iqra Shamas |
| collection | DOAJ |
| description | The key objective of this research article includes the study of some rational type coincidence point and deriving common fixed point (CFP) results for rational type weakly-compatible three self-mappings in fuzzy metric (FM) space. The “triangular property of FM” is used as a fundamental tool. Moreover, some unique coincidence points and CFP theorems were presented for three self-mappings in an FM space under the conditions of rational type weakly-compatible fuzzy-contraction. In addition, some suitable examples are also given. Furthermore, an application of fuzzy differential equations is provided in the aid of the proposed work. Hence, the innovative direction of rational type weakly-compatible fuzzy-contraction with the application of fuzzy differential equations in FM space will certainly play a vital role in the related fields. It has the potential to be extended in any direction with different types of weakly-compatible fuzzy-contraction conditions for self-mappings with different types of differential equations. |
| format | Article |
| id | doaj-art-d4fc322bb5bd48f3a6b4aa8504cd3759 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d4fc322bb5bd48f3a6b4aa8504cd37592025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/61231546123154A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric SpacesIqra Shamas0Saif Ur Rehman1Naeem Jan2Abdu Gumaei3Mabrook Al-Rakhami4Department of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanDepartment of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanDepartment of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanComputer Science Department, Faculty of Applied Sciences, Taiz University, Taiz 6803, YemenSTC’s Artificial Intelligence Chair, Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi ArabiaThe key objective of this research article includes the study of some rational type coincidence point and deriving common fixed point (CFP) results for rational type weakly-compatible three self-mappings in fuzzy metric (FM) space. The “triangular property of FM” is used as a fundamental tool. Moreover, some unique coincidence points and CFP theorems were presented for three self-mappings in an FM space under the conditions of rational type weakly-compatible fuzzy-contraction. In addition, some suitable examples are also given. Furthermore, an application of fuzzy differential equations is provided in the aid of the proposed work. Hence, the innovative direction of rational type weakly-compatible fuzzy-contraction with the application of fuzzy differential equations in FM space will certainly play a vital role in the related fields. It has the potential to be extended in any direction with different types of weakly-compatible fuzzy-contraction conditions for self-mappings with different types of differential equations.http://dx.doi.org/10.1155/2021/6123154 |
| spellingShingle | Iqra Shamas Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces Journal of Function Spaces |
| title | A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces |
| title_full | A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces |
| title_fullStr | A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces |
| title_full_unstemmed | A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces |
| title_short | A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces |
| title_sort | new approach to fuzzy differential equations using weakly compatible self mappings in fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2021/6123154 |
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