Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems
In this article, we prove certain fixed point findings for a nonlinear almost contraction map of the Pant type in a metric space endowed with a binary relation. The outcomes presented here expand, develop, enhance, and consolidate several existing findings. With a view to arguing for our findings, w...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/6/906 |
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| author | Esmail Alshaban Adel Alatawi Fahad M. Alamrani Ahmed Alamer Naif N. Alrshidi Faizan Ahmad Khan |
| author_facet | Esmail Alshaban Adel Alatawi Fahad M. Alamrani Ahmed Alamer Naif N. Alrshidi Faizan Ahmad Khan |
| author_sort | Esmail Alshaban |
| collection | DOAJ |
| description | In this article, we prove certain fixed point findings for a nonlinear almost contraction map of the Pant type in a metric space endowed with a binary relation. The outcomes presented here expand, develop, enhance, and consolidate several existing findings. With a view to arguing for our findings, we furnish a few examples. As an application of our outcomes, we discuss the existence of a unique solution of a boundary value problem of the first order. |
| format | Article |
| id | doaj-art-9cf3e2cbc6704d0b87d75bd7f7a2b5fe |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-9cf3e2cbc6704d0b87d75bd7f7a2b5fe2025-08-20T03:43:27ZengMDPI AGMathematics2227-73902025-03-0113690610.3390/math13060906Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value ProblemsEsmail Alshaban0Adel Alatawi1Fahad M. Alamrani2Ahmed Alamer3Naif N. Alrshidi4Faizan Ahmad Khan5Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaIn this article, we prove certain fixed point findings for a nonlinear almost contraction map of the Pant type in a metric space endowed with a binary relation. The outcomes presented here expand, develop, enhance, and consolidate several existing findings. With a view to arguing for our findings, we furnish a few examples. As an application of our outcomes, we discuss the existence of a unique solution of a boundary value problem of the first order.https://www.mdpi.com/2227-7390/13/6/906fixed points<i>ϕ</i>-contraction mapsboundary value problems |
| spellingShingle | Esmail Alshaban Adel Alatawi Fahad M. Alamrani Ahmed Alamer Naif N. Alrshidi Faizan Ahmad Khan Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems Mathematics fixed points <i>ϕ</i>-contraction maps boundary value problems |
| title | Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems |
| title_full | Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems |
| title_fullStr | Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems |
| title_full_unstemmed | Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems |
| title_short | Nonlinear Almost Contractions of Pant Type Under Binary Relations with an Application to Boundary Value Problems |
| title_sort | nonlinear almost contractions of pant type under binary relations with an application to boundary value problems |
| topic | fixed points <i>ϕ</i>-contraction maps boundary value problems |
| url | https://www.mdpi.com/2227-7390/13/6/906 |
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