Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations

Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations

This paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ&l...

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Bibliographic Details
Main Authors:	Fahad M. Alamrani, Ebrahem A. Algehyne, Esmail Alshaban, Adel Alatawi, Hamid I. A. Mohammed, Faizan Ahmad Khan
Format:	Article
Language:	English
Published:	MDPI AG 2024-12-01
Series:	Axioms
Subjects:	fixed points binary relation nonlinear Fredholm integral equations
Online Access:	https://www.mdpi.com/2075-1680/14/1/1
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Summary:	This paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. We provide several illustrative examples to support the validity of our outcomes. We also argue about the possibility of a unique solution of a nonlinear Fredholm integral equation via our outcomes.
ISSN:	2075-1680