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I am a researcher currently working at the Department of Mathematics, University of 8 May 1945 in Guelma, Algeria. I got a Ph.D. degree in mathematics in December 2021 from the University of Hamma Lakhder El-Oued, Algeria. My research interests are on Fixed Point Theory, Applied Mathematics and Functional Analysis. I am one of the founding members of the Laboratory of Analysis and Control of Differential Equations "ACED" at my university.
In this paper, we prove the existence of a multivalued fixed point, by combining Geraghty contraction with θ-contraction and α, η-admissible concepts. Some consequences are given in metric spaces endowed with partial order or with graph, also we provide an example and an application to the existence of solutions of a boundary value problem for frac...
In this study, combining the concept of α-admissibility with θ-contraction and almost contraction concepts in the setting of complete metric spaces, we present some existence theorems of fixed point for new contractions type. An example is furnished to demonstrate the usability of our outcomes; moreover, we apply our main results to prove the exist...
The main objective of this paper is to present a common …xed point theorem for two pairs of single and set valued mappings via subsequential continuity and-compatibility. To illustrate the validity of our results, an example is provided and we give also an application for a system of integral inclusions of Volterra type.