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

Doaa Filali, Mohammad Dilshad and Mohammad Akram ()
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Doaa Filali: Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Mohammad Dilshad: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Mohammad Akram: Department of Mathematics, Islamic University of Madinah, Madinah 42351, Saudi Arabia

Mathematics, 2024, vol. 12, issue 17, 1-12

Abstract: This article deals with a few outcomes ensuring the fixed points of a weak ( G , ψ ) -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.

Keywords: fixed points; (C)-graph; Picard mappings; nonlinear integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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