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 via G-transitive binary relation and fuzzy LR-contraction

A Moussaoui, V Todorčević, M Pantović, S Radenović… - Mathematics, 2023 - mdpi.com
In this study, we initiate the concept of fuzzy LR-contraction and establish some fixed point
results involving a G-transitive binary relation and fuzzy L-simulation functions, by employing …

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 …

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 …

A New Approach to Fuzzy Differential Equations Using Weakly‐Compatible Self‐Mappings in Fuzzy Metric Spaces

I Shamas, SU Rehman, N Jan, A Gumaei… - Journal of Function …, 2021 - Wiley Online Library
The key objective of this research article includes the study of some rational type
coincidence point and deriving common fixed point (CFP) results for rational type weakly …

On completeness and compactness in fuzzy metric spaces

G Baydar, M Telci - The Journal of Analysis, 2023 - Springer
In this paper we introduce the concepts of weak-completeness and sequentially p-
compactness in fuzzy metric spaces in relation to the works given by Miheţ (Fuzzy Sets Syst …

FIXED POINT RESULTS FOR TR-WEAK FUZZY CONTRACTION VIA BINARY RELATION.

A Moussaoui, S Melliani - Palestine Journal of Mathematics, 2024 - search.ebscohost.com
In this study, we inaugurate a relation-theoretic methodology to explore the outcomes of
fuzzy metrical fixed points. We introduce the concept of TR-weak fuzzy contraction and …

Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings

HN Saleh, M Imdad, S Sessa, F Di Martino - Algorithms, 2022 - mdpi.com
In this article, the concept of fuzzy (σ, Z)-contractive mappings is introduced in the setting of
fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some …

Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium

R Tiwari, V Rakočević, S Rajput - Kybernetika, 2022 - dml.cz
In this paper, we introduce $\Theta_f $-type controlled fuzzy metric spaces and establish
some fixed point results in this spaces. We provide suitable examples to validate our result …