Fixed-point results connected to fuzzy F-contraction and simulation functions with application
Abstract In this paper, we establish a novel type of fuzzy contraction principle through the concepts of fuzzy F-contractions and fuzzy simulation functions and we prove the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces by the newly developed contractio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
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| Online Access: | https://doi.org/10.1186/s13663-025-00794-5 |
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| _version_ | 1849342782004527104 |
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| author | Abdelhamid Moussaoui Fouad Ibrahim Abdou Amir Mhamed Elomari |
| author_facet | Abdelhamid Moussaoui Fouad Ibrahim Abdou Amir Mhamed Elomari |
| author_sort | Abdelhamid Moussaoui |
| collection | DOAJ |
| description | Abstract In this paper, we establish a novel type of fuzzy contraction principle through the concepts of fuzzy F-contractions and fuzzy simulation functions and we prove the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces by the newly developed contraction. The utility of our findings is further demonstrated by an example, an application to fractional calculus, and some illustrated remarks. The results presented unify, generalize, and enhance a variety of existing research findings in the literature. |
| format | Article |
| id | doaj-art-c93cedd52c8547189ea515c645eaa783 |
| institution | Kabale University |
| issn | 2730-5422 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj-art-c93cedd52c8547189ea515c645eaa7832025-08-20T03:43:15ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222025-07-012025111510.1186/s13663-025-00794-5Fixed-point results connected to fuzzy F-contraction and simulation functions with applicationAbdelhamid Moussaoui0Fouad Ibrahim Abdou Amir1Mhamed Elomari2Laboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane UniversityLaboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane UniversityLaboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane UniversityAbstract In this paper, we establish a novel type of fuzzy contraction principle through the concepts of fuzzy F-contractions and fuzzy simulation functions and we prove the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces by the newly developed contraction. The utility of our findings is further demonstrated by an example, an application to fractional calculus, and some illustrated remarks. The results presented unify, generalize, and enhance a variety of existing research findings in the literature.https://doi.org/10.1186/s13663-025-00794-5Fixed-point theoryFuzzy metric spaceFuzzy contractionSimulation functionF-contraction |
| spellingShingle | Abdelhamid Moussaoui Fouad Ibrahim Abdou Amir Mhamed Elomari Fixed-point results connected to fuzzy F-contraction and simulation functions with application Fixed Point Theory and Algorithms for Sciences and Engineering Fixed-point theory Fuzzy metric space Fuzzy contraction Simulation function F-contraction |
| title | Fixed-point results connected to fuzzy F-contraction and simulation functions with application |
| title_full | Fixed-point results connected to fuzzy F-contraction and simulation functions with application |
| title_fullStr | Fixed-point results connected to fuzzy F-contraction and simulation functions with application |
| title_full_unstemmed | Fixed-point results connected to fuzzy F-contraction and simulation functions with application |
| title_short | Fixed-point results connected to fuzzy F-contraction and simulation functions with application |
| title_sort | fixed point results connected to fuzzy f contraction and simulation functions with application |
| topic | Fixed-point theory Fuzzy metric space Fuzzy contraction Simulation function F-contraction |
| url | https://doi.org/10.1186/s13663-025-00794-5 |
| work_keys_str_mv | AT abdelhamidmoussaoui fixedpointresultsconnectedtofuzzyfcontractionandsimulationfunctionswithapplication AT fouadibrahimabdouamir fixedpointresultsconnectedtofuzzyfcontractionandsimulationfunctionswithapplication AT mhamedelomari fixedpointresultsconnectedtofuzzyfcontractionandsimulationfunctionswithapplication |