Browsing by Author "5dc06d82-1d9c-419e-af98-0883c56affaa"
Now showing items 1-10 of 10
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Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2017)In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
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Adly, Samir; Brogliato, Bernard; Le, Ba Khiet (Heldermann Verlag, 2016)A class of Lagrangian continuous dynamical systems with set-valued controller and subjected to a perturbation force has been thoroughly studied in [3]. In this paper, we study the time discretization of these set-valued ...
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Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao (Academic Press Inc., 2018)We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...
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Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran (Springer, 2020)We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...
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Adly, Samir; Hantoute, Abderrahim; Le, Ba Khiet (Academic Press-Elsevier, 2017)We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banach spaces. Instead of using the adjoint of such linear operators, as ...
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Adly, Samir; Le, Ba Khiet (Taylor & Francis, 2017)By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...
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Adly, Samir; Hantoute, Abderrahim; Théra, Michel (Springer, 2016)The general theory of Lyapunov stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 985-1008, 2012). This new ...
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Adly, Samir; Le, Ba Khiet (Springer, 2018-06)In this note, by solving a variational inequality at each iteration, we study the existence of solutions for a class of sweeping processes with velocity in the moving set, originally introduced in a recent paper (Adly et ...
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Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2018-04)In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...
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Adly, Samir; Le, Ba Khiet (Amer INST. mathematical sciences-AIMS, 2018-03)In this paper, the existence of solutions for a class of first and second order unbounded state-dependent sweeping processes with perturbation in uniformly convex and q-uniformly smooth Banach spaces are analyzed by using ...