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Relation-Preserving Functional Contractions Involving a Triplet of Auxiliary Functions with an Application to Integral Equations

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Publicado en:Symmetry vol. 16, no. 6 (2024), p. 691
Autor principal: Filali, Doaa
Otros Autores: Faizan Ahmad Khan
Publicado:
MDPI AG
Materias:
Computational mathematics
Metric space
Integral equations
Boundary value problems
Fredholm equations
Functionals
Acceso en línea:Citation/Abstract
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Resumen:This article addresses certain fixed-point results in a metric space equipped with a locally transitive binary relation under a functional contraction containing three auxiliary functions. The findings proved herein enrich and improve a number of existing results. In order to prove the credibility of our findings, an illustrative example is provided. Making use of our findings, we study the genuineness of the unique solution to a Fredholm integral equation.
ISSN:2073-8994
DOI:10.3390/sym16060691
Fuente:Engineering Database