Fixed point results via extended -simulation functions in fuzzy metric spaces

A Moussaoui, N Hussain, S Melliani, H Nasr… - Journal of Inequalities …, 2022 - Springer
In this paper, we introduce a new class of control functions, namely extended FZ-simulation
functions, and employ it to define a new contractive condition. We also prove some new …

Fixed Point Results for New Types of Fuzzy Contractions via Admissible Functions and ℱ𝒵-Simulation Functions

A Moussaoui, N Saleem, S Melliani, M Zhou - Axioms, 2022 - mdpi.com
In this paper, we introduce two new concepts, generalized α-η-FZ-contraction and modified
α-η-FZ-contraction, which unify several types of contractions in the context of fuzzy metric …

A nonlinear fuzzy contraction principle via control functions

A Moussaoui, S Melliani, S Radenović - Filomat, 2024 - doiserbia.nb.rs
In this work, we develop a new type of nonlinear fuzzy contraction, namely fuzzy Lλ-weak
contraction, based on fuzzy Lλ-simulation function and fuzzy Θf-contractive mappings. Then …

Global optimal solutions for proximal fuzzy contractions involving control functions

A Moussaoui, N Hussain, S Melliani - Journal of Mathematics, 2021 - Wiley Online Library
In this study, we introduce new concepts of α− FZ‐contraction and α− ψ− FZ‐contraction and
we discuss existence results of the best proximity points of such types of non‐self‐mappings …

Fixed point theorems involving FZ-ϑf-contractions in GV-fuzzy metrics

A Moussaoui, S Radenović, S Melliani - Filomat, 2024 - doiserbia.nb.rs
In this study, we introduce two new types of fuzzy contraction principles, namely: fuzzy FZ-ϑf-
contraction and modified fuzzy FZ-ϑf-contraction mappings, and utilize the same to establish …

New relation-theoretic fixed point theorems in fuzzy metric spaces with an application to fractional differential equations

SM Saleh, WM Alfaqih, S Sessa, F Di Martino - Axioms, 2022 - mdpi.com
In this paper, we introduce the notion of fuzzy R− ψ− contractive mappings and prove some
relevant results on the existence and uniqueness of fixed points for this type of mappings in …

Fuzzy Θ F-contractive mappings and their fixed points with applications

H Nasr Saleh, M Imdad, I Khan… - Journal of Intelligent …, 2020 - content.iospress.com
In the present article, inspired by the work of Jleli et al.[J. Inequal. Appl. 2014, 38 (2014)] and
[J. Inequal. Appl. 2014, 439 (2014)] in metric spaces, we proposed a new class of contractive …

A study of common fixed points that belong to zeros of a certain given function with applications

HN Saleh, M Imdad, E Karapinar - Nonlinear Analysis: Modelling and …, 2021 - zurnalai.vu.lt
In this paper, we establish some point of φ-coincidence and common φ-fixed point results for
two self-mappings defined on a metric space via extended CG-simulation functions. By …

Some new fuzzy fixed point results with applications

SA Al-Mezel, J Ahmad, M De La Sen - Mathematics, 2020 - mdpi.com
The aim of this article is to establish some fixed point results for fuzzy mappings and derive
some corresponding multivalued mappings results of literature. For this purpose, we define …

Fixed point results under admissible ---simulation fuzzy contraction with application

A Moussaoui, S Melliani - … Journal of System Assurance Engineering and …, 2024 - Springer
In this study, we introduce the concept of admissible α-η-F-simulation fuzzy contraction
mappings as an innovative extension within the realm of fuzzy contraction notions. The …