A new extension to the controlled metric type spaces endowed with a graph

N Mlaiki, N Souayah, T Abdeljawad, H Aydi - Advances in Difference …, 2021 - Springer
In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like
spaces, by changing the condition℘(s, r)= 0⇔ s= r by℘(s, r)= 0⇒ s= r\bigl ℘ (s, r)= 0 ⇔ s …

Kannan‐Type Contractions on New Extended b‐Metric Spaces

H Aydi, M Aslam, DS Sagheer, S Batul… - Journal of Function …, 2021 - Wiley Online Library
This article is focused on the generalization of some fixed point theorems with Kannan‐type
contractions in the setting of new extended b‐metric spaces. An idea of asymptotic regularity …

On the Meir–Keeler theorem in quasi-metric spaces

M Rachid, ZD Mitrović, V Parvaneh… - Journal of Fixed Point …, 2021 - Springer
The main purpose of this paper is to show that the Meir–Keeler contraction principle, as well
as some of its generalizations, is, in general, not true in quasi-metric spaces. After that, we …

Relation-Theoretic Coincidence and Common Fixed Point Results in Extended Rectangular b-Metric Spaces with Applications

Y Sun, X Liu - Symmetry, 2022 - mdpi.com
The objective of this paper is to obtain new relation-theoretic coincidence and common fixed
point results for some mappings F and g via hybrid contractions and auxiliary functions in …

[PDF][PDF] A fixed point result on a DCMLS and applications to matrix equations and random integral equations

H Aydi, H Hammouda - Filomat, 2023 - doiserbia.nb.rs
In this work, we present a fixed point result in the context of a double controlled metric-like
space involving its control functions. A matrix equation has been solved via a fixed point …

Solving existence problems via contractions in expanded b-metric spaces

A Karami, S Sedghi, ZD Mitrović - The Journal of Analysis, 2022 - Springer
In this paper, we introduce a new abstract structure, expanded b-metric, as a natural
extension of b-metric. We also define basic topological notions in expanded b-metric to be …

[PDF][PDF] Rational interpolative contractions with applications in extended -metric spaces

M Sarwar, M Fawad, M Rashid, ZD Mitrovic… - AIMS …, 2024 - aimspress.com
In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-
point results were studied in the context of extended b-metric spaces. For the validity of the …

[PDF][PDF] An integral equation in partially ordered sets

M Shahsavari, A Razani, G Abbasi - Miskolc Mathematical Notes, 2022 - real.mtak.hu
An integral equation in partially ordered sets Page 1 Miskolc Mathematical Notes HU e-ISSN
1787-2413 Vol. 23 (2022), No. 2, pp. 881–888 DOI: 10.18514/MMN.2022.3626 AN INTEGRAL …

On Geraghty Contractive Mappings and an Application

S Batul, F Mehmood, DS Sagheer… - Journal of …, 2022 - Wiley Online Library
In this article, certain fixed point results for Geraghty‐type contractions in the setting of Gr‐
Complete extended fuzzy b‐metric spaces are established. An example is elaborated, and a …

Admissible Hybrid ‐Contractions in Extended b‐Metric Spaces

Q Kiran, M Azhar, H Aydi… - Advances in Mathematical …, 2021 - Wiley Online Library
In this paper, we define the notation of admissible hybrid Z‐contractions in the setting of
extended b‐metric spaces, which unifies and generalizes previously existing results in …