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## Publications

Publications (28)

We propose a class of finite volume algorithms that are both simple and efficient for solving numerically the shallow water equations with varying densities; shallow water flows in single and two layers are considered. In these flow regimes, variable horizontal or vertical density is taken into account. The shallow water equations for the hydraulic...

In this paper, we propose a numerical simulation of two-phase shallow granular flows through a moved bed with a variable irregular topography via a predictor corrector scheme. This method consists of predictor and corrector stages. The predictor stage contains a parameter to control the numerical diffusion that is performed by utilizing limiters an...

This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained results are generalizations of the result of Sadiq Basha (Basha, S., Best proximity points: global o...

Very recently, Roshan et al. [26] introduce the concept of a rectangular b-metric and established some fixed point results. In this paper, using α-admissible mappings, we prove several fixed point results in rectangular b-metric spaces. We also derive some consequences and corollaries from our obtained results. An application and some examples are...

In this paper, we introduce the concept of a Hausdorff dislocated metric . We initiatethe study of fixed point theory for multi-valued mappings on dislocated metric space using theHausdorff dislocated metric and we prove a generalization of the well known Nadler’s fixed pointtheorem. Moreover, we provide some examples and we give an application of...

Based on a new papers of Aydi et al. in [7, 8], where the concept of Hausdorff metric-like has been initiated, we introduce Suzuki type contractive multivalued mappings on metric-like spaces. We also establish several fixed point results involving such contractions. We show that many known fixed point results in literature are simple consequences o...

In this paper, we establish some fixed point theorems in G-metric spaces involving generalized
cyclic contractions. Some subsequent results are derived. The presented results generalize many well
known results in the literature. Moreover, we provide some concrete examples and an application on the
existence and uniqueness of solutions to a class of...

In this paper, we introduce some generalized nonlinear contractions via implicit functions and α-admissible pair of mappings. We also provide some common fixed point results for above contractions in the class of b-metric-like spaces. We will derive some consequences and corollaries from our obtained results. Some illustrated examples are presented...

n this paper, we establish some fixed point theorems in $G$-metric spaces
involving generalized cyclic contractions. Some subsequent results are derived. The presented results generalize many well known results in the literature. Moreover, we provide some concrete examples and an application on the existence and uniqueness of solutions to a class o...

In this paper, we establish some fixed point theorems in G-metric spaces involving generalized
cyclic contractions. Some subsequent results are derived. The presented results generalize many well
known results in the literature. Moreover, we provide some concrete examples and an application on the
existence and uniqueness of solutions to a class of...

In this paper, we establish some fixed point theorems in G-metric spaces involving generalized cyclic contractions. Some subsequent results are derived. The presented results generalize many well known results in the literature. Moreover, we provide some concrete examples and an application on the existence and uniqueness of solutions to a class of...

In this paper, we establish some fixed point results for α-λ-contractions in the class of quasi b-metric spaces. To illustrate the obtained results, we provide some examples and an application on a solution of an integral equation. We also study the stability of Ulam-Hyers and well-posedness of a fixed point problem. Our obtained results give an an...

In this paper, we introduce the concept of modified F-contractions via α-admissible pair of mappings. We also provide several common fixed point results in the setting of metric spaces. Moreover, we present some illustrated examples and we give two applications on a dynamic programming and an integral equation.

In this paper, we introduce the concept of a Hausdorff metric-like. We initiate the study of fixed point theory for multi-valued mappings on metric-like space using the Hausdorff metric-like and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result....

In this paper, using the concept of α-admissible pairs of mappings, we prove several common fixed point results in the setting of b-metric-like spaces. We also introduce the notion of generalized cyclic contraction pairs and establish some common fixed results for such pairs in b-metric-like spaces. Some examples are presented making effective the...

The concept of Hausdorff metric-like has been initiated in [5]. Using this concept, we introducé Ciri´cCiri´c-Berinde type contractive multi-valued mappings via α-admissible mappings on metric-like spaces and we establish several fixed point results. We show that many known fixed point results in literature are simple consequences of our theorems....

In this paper, we initiate the concept of F-contraction via α-admissible pairs of mappings in complete partial metric spaces. We will provide several common fixed point results for such type pairs of contractive mappings. Furthermore, we provide some examples and we give an application to programming dynamic. 2000 Mathematics Subject Classification...

In this paper, we consider multivalued nonself weak contractions on convex metric-like spaces and we establish the existence of fixed point of such mappings. We provide some examples making effective our obtained result.

Very recently, Roshan et al. [18] introduce the concept of a rectangular bmetric
and established some fixed point results. In this paper, using the concept of (E.A)
property, we prove several common fixed point results in rectangular b-metric spaces. We
also derive some consequences and corollaries from our obtained results. Some examples
are prese...

This paper is devoted to solve the system of partial differential equations governing the flow of two superposed immiscible layers of shallow water flows. The system contains source terms due to bottom topography, wind stresses, and nonconservative products describing momentum exchange between the layers. The presence of these terms in the flow mod...

The accuracy and efficiency of a class of finite volume methods are in-vestigated for numerical solution of morphodynamic problems in one space di-mension. The governing equations consist of two components, namely a hydraulic part described by the shallow water equations and a sediment part described by the Exner equation. Based on different formul...

We present a finite volume method for the numerical solution of the sediment transport equations in one and two space dimensions. The numerical fluxes are reconstructed using a modified Roe scheme that incorporates, in its reconstruction, the sign of the Jacobian matrix in the sediment transport system. A well-balanced discretization is used for th...

We discuss the application of a finite volume method to morphodynamic models on unstructured triangular meshes. The model is based on coupling the shallow water equations for the hydrodynamics with a sediment transport equation for the morphodynamics. The finite volume method is formulated for the quasi-steady approach and the coupled approach. In...

This work is devoted to the analysis of a finite volume method recently proposed for the numerical computation of a class of non-homogenous systems of partial differential equations of interest in fluid dynamics. The stability analysis of the proposed scheme leads to the introduction of the sign matrix of the flux jacobian. It appears that this for...

International audience
This article is devoted to the analysis, and improvement of a finite volume scheme proposed recently for a class of non homogeneous systems. We consider those for which the corressponding Riemann problem admits a selfsimilar solution. Some important examples of such problems are Shallow Water problems with irregular topograph...

Mme Anela Kumbaro, Mme Laure Quivy, M. François Alouges (rapporteur), M. Claude Basdevant (président), M. Fayssal Benkhaldoun (Directeur), M. Hervé Guillard (Rapporteur)