Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem
Abstract In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space ( FMS $\mathcal{FMS}$ ). Extensive examples are provided to validate the outcomes. The findings demo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02065-z |
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| _version_ | 1849687987447660544 |
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| author | Vishal Gupta Pooja Dhawan Rahul Shukla |
| author_facet | Vishal Gupta Pooja Dhawan Rahul Shukla |
| author_sort | Vishal Gupta |
| collection | DOAJ |
| description | Abstract In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space ( FMS $\mathcal{FMS}$ ). Extensive examples are provided to validate the outcomes. The findings demonstrated in this work generalize a number of intriguing findings in existing metric spaces. Our novel thoughts and results are also applied to the folding of an elastic band restrained at both ends by taking into account the two-point boundary issue involving differential equations of fourth order. |
| format | Article |
| id | doaj-art-fa4e2eded17c41538b7e1ba53d4c9db6 |
| institution | DOAJ |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-fa4e2eded17c41538b7e1ba53d4c9db62025-08-20T03:22:11ZengSpringerOpenBoundary Value Problems1687-27702025-05-012025111310.1186/s13661-025-02065-zModified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problemVishal Gupta0Pooja Dhawan1Rahul Shukla2Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University)Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University)Department of Mathematical Sciences and Computing, Walter Sisulu UniversityAbstract In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space ( FMS $\mathcal{FMS}$ ). Extensive examples are provided to validate the outcomes. The findings demonstrated in this work generalize a number of intriguing findings in existing metric spaces. Our novel thoughts and results are also applied to the folding of an elastic band restrained at both ends by taking into account the two-point boundary issue involving differential equations of fourth order.https://doi.org/10.1186/s13661-025-02065-zMeir-Keeler contractionFuzzy metric spaceTriangular α-admissibility |
| spellingShingle | Vishal Gupta Pooja Dhawan Rahul Shukla Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem Boundary Value Problems Meir-Keeler contraction Fuzzy metric space Triangular α-admissibility |
| title | Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem |
| title_full | Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem |
| title_fullStr | Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem |
| title_full_unstemmed | Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem |
| title_short | Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem |
| title_sort | modified meir keeler type contraction in fuzzy metric spaces for single valued and set valued mappings with solution to boundary value problem |
| topic | Meir-Keeler contraction Fuzzy metric space Triangular α-admissibility |
| url | https://doi.org/10.1186/s13661-025-02065-z |
| work_keys_str_mv | AT vishalgupta modifiedmeirkeelertypecontractioninfuzzymetricspacesforsinglevaluedandsetvaluedmappingswithsolutiontoboundaryvalueproblem AT poojadhawan modifiedmeirkeelertypecontractioninfuzzymetricspacesforsinglevaluedandsetvaluedmappingswithsolutiontoboundaryvalueproblem AT rahulshukla modifiedmeirkeelertypecontractioninfuzzymetricspacesforsinglevaluedandsetvaluedmappingswithsolutiontoboundaryvalueproblem |