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Weak ψ-Contractions on Directed Graphs with Applications to Integral Equations

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Publicado en:Mathematics vol. 12, no. 17 (2024), p. 2675
Autor principal: Filali, Doaa
Otros Autores: Dilshad, Mohammad, Akram, Mohammad
Publicado:
MDPI AG
Materias:
Metric space
Inequality
Graph theory
Integral equations
Acceso en línea:Citation/Abstract
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Resumen:This article deals with a few outcomes ensuring the fixed points of a weak <inline-formula>(G,ψ)</inline-formula>-contraction map of metric spaces comprised with a reflexive and transitive digraph G. To validate our findings, we furnish several examples. The findings we obtain enable us to seek out the unique solution of a nonlinear integral equation. The outcomes presented herewith sharpen, subsume, unify, improve, enrich, and compile a number of existing theorems.
ISSN:2227-7390
DOI:10.3390/math12172675
Fuente:Engineering Database