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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Doaa Filali & Mohammad Dilshad & Mohammad Akram, 2024. "Weak ψ -Contractions on Directed Graphs with Applications to Integral Equations," Mathematics, MDPI, vol. 12(17), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2675-:d:1466049
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    References listed on IDEAS

    as
    1. Asik Hossain & Aftab Alam & Salvatore Sessa & Qamrul Haque Khan, 2023. "Relation-Theoretic Weak Contractions and Applications," Mathematics, MDPI, vol. 11(9), pages 1-15, April.
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