Prof. Dr. Abdelhamid Moussaoui
Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco
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Academic Career Length
9Years (2018-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications2 June 2022 in Journal of Inequalities and Applications
Journal Article
Abdelhamid MoussaouiNHNawab Hussain
Nawab Hussain
SMSaid Melliani
Said Melliani
HNHayel Nasr
Hayel Nasr
MIMohammad Imdad
Mohammad Imdad
In this paper, we introduce a new class of control functions, namely extended $\mathcal{FZ}$ -simulation functions, and employ it to define a new contractive condition. We also prove some new fixed and best proximity point results in the context of anM-complete fuzzy metric space. The presented theorems unify, generalize, and improve several existing results in the literature.
Journal Article
Abdelhamid MoussaouiNSNaeem Saleem
Naeem SaleemSMSaid Melliani
Said Melliani
Mi ZhouIn this paper, we introduce two new concepts, generalized ---contraction and modified ---contraction, which unify several types of contractions in the context of fuzzy metric spaces. We discuss the existence and uniqueness results of such mappings in the setting of a complete fuzzy metric space in the sense of George and Veeramani and present several significant consequences of our obtained results by using variant examples for -simulation functions and admissible mappings. Some examples are provided to illustrate the usability of our main results.
18 September 2025 in Fixed Point Theory and Algorithms for Sciences and Engineering
Journal Article
Abdelhamid MoussaouiSRStojan Radenović
Stojan Radenović
This paper presents an extensive review of fuzzy metric spaces, with an emphasis on their core topological properties and fixed point theory. It discusses several influential contraction principles that guarantee the existence and uniqueness of fixed points, incorporating the use of auxiliary functions and admissible mappings to enhance these principles. The paper also explores the fuzzy simulation function approach, showcasing its ability to unify various established results within the fuzzy context. This approach not only provides a cohesive framework for understanding the relationships between fixed point theory, contraction mappings, and their interactions within fuzzy metric spaces but also highlights key aspects of fuzzy metric spaces, offering deeper insights into their structure and applications.
28 August 2020 in International Journal of Mathematics and Mathematical Sciences
Journal Article
In this paper, we introduce a new concept of -admissible almost type -contraction and prove some fixed point results for this new class of contractions in the context of complete metric spaces. The presented results generalize and unify several existing results in the literature.
30 June 2021 in Journal of Mathematics
Journal Article
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 involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.
1 January 2024 in Filomat
Journal Article
Abdelhamid MoussaouiSMSaid Melliani
Said MellianiSRStojan Radenovic
Stojan RadenovicIn this work, we develop a new type of nonlinear fuzzy contraction, namely fuzzy L?-weak contraction, based on fuzzy L?-simulation function and fuzzy ?f-contractive mappings. Then, using the specifically developed contraction, we show the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces. We provide an example, together with some illustrative corollaries and remarks, to further prove the validity of our findings. The presented findings combine, enhance, and extend a number of earlier research findings.
About Me
Prof. Dr. Abdelhamid Moussaoui is an emerging researcher in functional analysis, specializing in fixed point theory and its applications. His research interests include best proximity point theory, generalized and fuzzy metric spaces, nonlinear contraction principles, and nonlinear analysis. His work focuses on developing new theoretical frameworks through the introduction of novel metric structures and the extension of classical fixed point methods to abstract settings. He has established several fixed point and best proximity point results under broad classes of nonlinear contractive conditions, contributing to the advancement of abstract analysis. Dr. Moussaoui has authored numerous research articles in reputable international peer-reviewed journals and actively collaborates with mathematicians from diverse scientific communities worldwide.