Hassen Aydi
University of Sousse
590 Papers
2.2K Citations
Hassen Aydi is an academic researcher from University of Sousse. The author has contributed to research in topics: Metric space & Fixed point. The author has an hindex of 41, co-authored 297 publications. Previous affiliations of Hassen Aydi include China Medical University (PRC) & University of Paris.
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Papers
A relation theoretic m-metric fixed point algorithm and related applications
Muhammad Atiq Ur Rehman Tariq,Muhammad Arshad,MUJAHID ABBAS,Eskandar Ameer,Saber Mansour,Hassen Aydi +5 more
- 13 May 2024
Abstract: In this article, we introduce the concept of generalized rational type $ F $ -contractions on relation theoretic m-metric spaces (denoted as $ F_{R}^{m} $-contractions, where $ R $ is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type $ F_{R}^{m} $- generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form $ \Lambda = S+\sum\limits_{i = 1}^{\mu }Q_{i}^{\ast }\Xi \left(\Lambda \right) Q_{i} $.
Solving delay integro-differential inclusions with applications
Maryam G. Alshehri,Hassen Aydi,Hasanen A. Hammad +2 more
- 13 May 2024
Abstract: This work primarily delves into three key areas: the presence of mild solutions, exploration of the topological and geometrical makeup of solution sets, and the continuous dependency of solutions on a second-order semilinear integro-differential inclusion. The Bohnenblust-Karlin fixed-point method has been integrated with Grimmer's theory of resolvent operators. Ultimately, the study delves into a mild solution for a partial integro-differential inclusion to showcase the achieved outcomes.
Some new characterizations and results for fuzzy contractions in fuzzy $ b $-metric spaces and applications
Haitham Qawaqneh,Mohd Salmi Md Noorani,Hassen Aydi +2 more
- 25 May 2024
TL;DR: This work introduces fuzzy cyclic admissibility to establish fixed point results for contraction mappings in fuzzy b-metric spaces, providing new characterizations and results, along with illustrative examples and an application to a Fredholm integral equation.
Fuzzy fixed points of fuzzy mappings via F-contractions and an application
TL;DR: This manuscript investigates the existence of common α-fuzzy fixed points for fuzzy mappings via F-contractions on a metric space, obtaining common fixed points of fuzzy mappings satisfying an F-contraction associated with the σ∞ metric.
Best Proximity Points of MT-Cyclic Contractions with Property UC
TL;DR: In this article, the notion of generalized MT-cyclic contraction mappings with respect to an auxiliary function φ was introduced and the existence of a best proximity point of such mappings in the setting was investigated.