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Nonlinear Almost Relational Contractions via a Triplet of Test Functions and Applications to Second-Order Ordinary Differential Equations

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Wydane w:Symmetry vol. 17, no. 11 (2025), p. 1798-1813
1. autor: Filali Doaa
Kolejni autorzy: Khan, Faizan Ahmad
Wydane:
MDPI AG
Hasła przedmiotowe:
Boundary conditions
Metric space
Differential equations
Ordinary differential equations
Fixed points (mathematics)
Dostęp online:Citation/Abstract
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Streszczenie:After the introduction of the relation-theoretic contraction principle, the branch of metric fixed-point theory has attracted much attention in this direction, and various fixed-point results have been proven in the framework of relational metric space via different approaches. The aim of this article is to establish some fixed-point outcomes in the framework of relational metric space verifying a generalized nonlinear contraction utilizing three test functions <inline-formula>Φ</inline-formula>, <inline-formula>Ψ</inline-formula> and <inline-formula>Θ</inline-formula> satisfying the appropriate characteristics. The findings obtained herein expand, sharpen, improve, modify and unify a few well-known findings. To demonstrate the utility of our outcomes, several examples are furnished. We utilized our outcomes to investigate a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions.
ISSN:2073-8994
DOI:10.3390/sym17111798
Źródło:Engineering Database