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Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations

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Publicado en:Axioms vol. 13, no. 7 (2024), p. 477
Autor principal: Filali, Doaa
Otros Autores: Dilshad, Mohammad, Akram, Mohammad
Publicado:
MDPI AG
Materias:
Fractional calculus
Metric space
Differential equations
Graph theory
Boundary value problems
Ordinary differential equations
Fixed points (mathematics)
Acceso en línea:Citation/Abstract
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Resumen:After the initiation of Jachymski’s contraction principle via digraph, the area of metric fixed point theory has attracted much attention. A number of outcomes on fixed points in the context of graph metric space employing various types of contractions have been investigated. The aim of this paper is to investigate some fixed point theorems for a class of nonlinear contractions in a metric space endued with a transitive digraph. The outcomes presented herewith improve, extend and enrich several existing results. Employing our findings, we describe the existence and uniqueness of a singular fractional boundary value problem.
ISSN:2075-1680
DOI:10.3390/axioms13070477
Fuente:Engineering Database