Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations
In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. In support of our results, we p...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9411993 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555172404920320 |
|---|---|
| author | Saif Ur Rehman Iqra Shamas Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_facet | Saif Ur Rehman Iqra Shamas Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_sort | Saif Ur Rehman |
| collection | DOAJ |
| description | In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. In support of our results, we present some illustrative examples for the validation of our work. Our results extend and improve many results given in the literature. In addition, we present an application of fuzzy differential equations to support our work. |
| format | Article |
| id | doaj-art-2e1b8f3f5778447087583586836a2efe |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2e1b8f3f5778447087583586836a2efe2025-02-03T05:49:26ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9411993Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential EquationsSaif Ur Rehman0Iqra Shamas1Naeem Jan2Abdu Gumaei3Mabrook Al-Rakhami4Department of MathematicsDepartment of MathematicsDepartment of MathematicsComputer Science DepartmentSTC’s Artificial Intelligence ChairIn this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. In support of our results, we present some illustrative examples for the validation of our work. Our results extend and improve many results given in the literature. In addition, we present an application of fuzzy differential equations to support our work.http://dx.doi.org/10.1155/2021/9411993 |
| spellingShingle | Saif Ur Rehman Iqra Shamas Naeem Jan Abdu Gumaei Mabrook Al-Rakhami Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations Journal of Function Spaces |
| title | Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations |
| title_full | Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations |
| title_fullStr | Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations |
| title_full_unstemmed | Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations |
| title_short | Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations |
| title_sort | some coincidence and common fixed point results in fuzzy metric space with an application to differential equations |
| url | http://dx.doi.org/10.1155/2021/9411993 |
| work_keys_str_mv | AT saifurrehman somecoincidenceandcommonfixedpointresultsinfuzzymetricspacewithanapplicationtodifferentialequations AT iqrashamas somecoincidenceandcommonfixedpointresultsinfuzzymetricspacewithanapplicationtodifferentialequations AT naeemjan somecoincidenceandcommonfixedpointresultsinfuzzymetricspacewithanapplicationtodifferentialequations AT abdugumaei somecoincidenceandcommonfixedpointresultsinfuzzymetricspacewithanapplicationtodifferentialequations AT mabrookalrakhami somecoincidenceandcommonfixedpointresultsinfuzzymetricspacewithanapplicationtodifferentialequations |