Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations
The objective of the paper is to present some fixed point results verifying a relational contraction utilizing certain shifting distance functions and via a generalized class of transitive relations. Our outcomes sharpen, extend, modify, and enrich many well-known results. To demonstrate the utility...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4740232 |
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| author | Faizan Ahmad Khan Fahad M. Alamrani Esmail Alshaban Ebrahem A. Algehyne Musaad S. Aldhabani |
| author_facet | Faizan Ahmad Khan Fahad M. Alamrani Esmail Alshaban Ebrahem A. Algehyne Musaad S. Aldhabani |
| author_sort | Faizan Ahmad Khan |
| collection | DOAJ |
| description | The objective of the paper is to present some fixed point results verifying a relational contraction utilizing certain shifting distance functions and via a generalized class of transitive relations. Our outcomes sharpen, extend, modify, and enrich many well-known results. To demonstrate the utility of our results, several examples are provided. We employed our results finding out a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions. |
| format | Article |
| id | doaj-art-7c35b4bdcc8145d3bad08013cd9622ab |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7c35b4bdcc8145d3bad08013cd9622ab2025-02-03T11:21:06ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4740232Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential EquationsFaizan Ahmad Khan0Fahad M. Alamrani1Esmail Alshaban2Ebrahem A. Algehyne3Musaad S. Aldhabani4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe objective of the paper is to present some fixed point results verifying a relational contraction utilizing certain shifting distance functions and via a generalized class of transitive relations. Our outcomes sharpen, extend, modify, and enrich many well-known results. To demonstrate the utility of our results, several examples are provided. We employed our results finding out a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions.http://dx.doi.org/10.1155/2024/4740232 |
| spellingShingle | Faizan Ahmad Khan Fahad M. Alamrani Esmail Alshaban Ebrahem A. Algehyne Musaad S. Aldhabani Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations Journal of Mathematics |
| title | Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations |
| title_full | Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations |
| title_fullStr | Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations |
| title_full_unstemmed | Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations |
| title_short | Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations |
| title_sort | relation theoretic contractions employing a new pair of shifting distance functions with applications to second order ordinary differential equations |
| url | http://dx.doi.org/10.1155/2024/4740232 |
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