[HTML][HTML] Almost contractions under binary relations

FA Khan - Axioms, 2022 - mdpi.com
After the introduction of almost contraction due to Berinde, the branch of metric fixed point
theory has attracted much attention in this direction, and various fixed point results have …

Relation-theoretic fixed point theorems involving certain auxiliary functions with applications

NH Altaweel, FA Khan - Symmetry, 2022 - mdpi.com
This article includes some fixed point results for (φ, ψ, θ)-contractions in the context of metric
space endowed with a locally H-transitive relation. We constructed an example for attesting …

[HTML][HTML] Relational strict almost contractions employing test functions and an application to nonlinear integral equations

D Filali, FA Khan - Mathematics, 2024 - mdpi.com
The present study deals with some fixed-point outcomes under a nonlinear formulation of
strict almost contractions in a metric space endued with an arbitrary relation. The outcomes …

Relation-preserving functional contractions involving a triplet of auxiliary functions with an application to integral equations

D Filali, FA Khan - Symmetry, 2024 - mdpi.com
This article addresses certain fixed-point results in a metric space equipped with a locally
transitive binary relation under a functional contraction containing three auxiliary functions …

[PDF][PDF] Solution of the boundary value problems via fixed point theorem on G-metric space

RA Thirumalai, S Thalapathiraj - IAENG International Journal of Applied …, 2023 - iaeng.org
In this study, we demonstrate the fixed point theorem for rational contractive map** on a
complete G− metric space. Furthermore, we provide an application of a first-order boundary …

[HTML][HTML] Relational Almost (ϕ,ψ)-Contractions and Applications to Nonlinear Fredholm Integral Equations

FM Alamrani, EA Algehyne, E Alshaban, A Alatawi… - Axioms, 2024 - mdpi.com
This paper deals with the fixed-point findings under relational strict almost (ϕ, ψ)-contraction.
Our findings complement and strengthen prevailing results. In the course of the procedure …

Relational contractions involving shifting distance functions with applications to boundary value problems

EA Algehyne, M Areshi, FA Khan - Axioms, 2023 - mdpi.com
This manuscript includes certain results on fixed points under a generalized contraction
involving a pair of shifting distance functions in the framework of metric space endowed with …

[HTML][HTML] Solving a boundary value problem via fixed-point theorem on®-metric space

G Mani, G Janardhanan, O Ege, AJ Gnanaprakasam… - Symmetry, 2022 - mdpi.com
In this paper, we prove the fixed-point theorem for rational contractive map** on®-metric
space. Additionally, an Euclidean metric space with a binary relation example and an …

Relation‐Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second‐Order Ordinary Differential Equations

FA Khan, FM Alamrani, E Alshaban… - Journal of …, 2024 - Wiley Online Library
The objective of the paper is to present some fixed point results verifying a relational
contraction utilizing certain shifting distance functions and via a generalized class of …