Weak ψ-Contractions on Directed Graphs with Applications to Integral Equations-Reference-Cited by-同舟云学术

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

Published:2024-08-28 Issue:17 Volume:12 Page:2675
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Filali Doaa¹^ORCID,Dilshad Mohammad²^ORCID,Akram Mohammad³

Affiliation:

1. Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

3. 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.

Funder

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/17/2675/pdf

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4. A comparison of various definitions of contractive mappings;Rhoades;Trans. Am. Math. Soc.,1977

5. Remarks on fixed point theorems of contractive type;Browder;Nonlinear Anal.,1979