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 …

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 …

Relational quasicontractions and related fixed point theorems

NHE Eljaneid, FA Khan, HIA Mohammed… - Journal of …, 2022 - Wiley Online Library
In this article, some results on fixed points under quasicontractions in the framework of
metric space endowed with binary relation are proved. Our newly proved results improve …

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 …

Coincidence Theorems under Generalized Nonlinear Relational Contractions

NH Altaweel, NHE Eljaneid, HIA Mohammed… - Symmetry, 2023 - mdpi.com
After the appearance of relation-theoretic contraction principle due to Alam and Imdad, the
domain of fixed point theory applied to relational metric spaces has attracted much attention …

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 …

[PDF][PDF] SOLUTION OF CERTAIN PERIODIC BOUNDARY VALUE PROBLEM IN RELATIONAL METRIC SPACE VIA RELATIONAL ALMOST ϕ-CONTRACTIONS

D Filali, NHE Eljaneid, AF Alharbi, E Alshaban… - 2025 - jaac-online.com
This article is comprised of outcomes on fixed points for almost Matkowski contractions via
locally J-transitive relations. Our outcomes sharpen, unify, enrich and improve many fixed …