Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators

HA Hammad, H Aydi, N Mlaiki - Advances in Difference Equations, 2021 - Springer
In this manuscript, some fixed point results for generalized contractive type map**s under
mild conditions in the setting of double controlled metric spaces (in short, η ℷ ν η_\gimel^ν …

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 …

On Orthogonal Partial b‐Metric Spaces with an Application

K Javed, H Aydi, F Uddin, M Arshad - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we initiate the concept of orthogonal partial b‐metric spaces. We ensure the
existence of a unique fixed point for some orthogonal contractive type map**s. Some …

Existence and Uniqueness Results for Two‐Term Nonlinear Fractional Differential Equations via a Fixed Point Technique

HR Marasi, H Aydi - Journal of Mathematics, 2021 - Wiley Online Library
The work addressed in this paper is to ensure the existence and uniqueness of positive
solutions for initial value problems for nonlinear fractional differential equations with two …

New Fixed Point Theorems for θϕ‐Contraction on Rectangular b‐Metric Spaces

A Kari, M Rossafi, EM Marhrani… - Abstract and Applied …, 2020 - Wiley Online Library
The Banach contraction principle is the most celebrated fixed point theorem and has been
generalized in various directions. In this paper, inspired by the concept of θ‐ϕ‐contraction in …

[PDF][PDF] Various fixed point results in complete Gb-metric spaces

V Gupta, O Ege, R Saini… - Dynamic Systems and …, 2021 - researchgate.net
Dynamic Systems and Applications 30 (2021) No.2, 277-293 VARIOUS FIXED POINT
RESULTS IN COMPLETE Gb-METRIC SPACES 1. INTRODUCTIO Page 1 Dynamic Systems …

Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued map**s and their common fixed points

P Debnath - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we present Banach, Kannan, Chatterjea, and Reich‐type contractive
inequalities for multivalued map**s and prove the existence of their common fixed points …

Fractional Hybrid Differential Equations and Coupled Fixed‐Point Results for α‐Admissible F(ψ1, ψ2)−Contractions in M−Metric Spaces

E Karapinar, SI Moustafa, A Shehata… - Discrete Dynamics in …, 2020 - Wiley Online Library
In this paper, we investigate the existence of a unique coupled fixed point for α− admissible
map** which is of F (ψ1, ψ2)− contraction in the context of M− metric space. We have also …

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

HA Hammad, MD La Sen - Journal of Inequalities and Applications, 2020 - Springer
This manuscript aims to initiate some recent theoretical consequences related to tripled
coincidence points for non-self map**s via the notion of C-type functions in partially …

On pairs of fuzzy dominated map**s and applications

T Rasham, A Asif, H Aydi, M De La Sen - Advances in Difference …, 2021 - Springer
The main purpose of this paper is to present some fixed-point results for a pair of fuzzy
dominated map**s which are generalized V-contractions in modular-like metric spaces …