1 citations · 1 across the 5 of their papers we have counts for
7 papers
Maximal Monotone Differential Inclusions with Volterra and One-Sided Lipschitz Perturbations under Nonlocal Initial Conditions and Applications
Abderrahim Jourani, Manuel Torres-Valdebenito
We investigate a class of differential inclusions governed by non-autonomous and autonomous maximal monotone operators, involving set-valued perturbations with a Volterra integral…
A Filippov theorem for Volterra sweeping processes with one-sided Lipschitz perturbation
Abderrahim Jourani, Diana Narváez, Emilio Vilches
We prove a Filippov-type stability theorem for integro-differential sweeping processes of Volterra type with an outer multivalued perturbation, in a separable Hilbert space, under…
Volterra Sweeping Processes with Multivalued Perturbations under Compactness Conditions
Abderrahim Jourani, Diana Narváez, Emilio Vilches
We study integro-differential sweeping processes of Volterra type in a separable Hilbert space, in which the velocity is governed by the normal cone to a prox-regular moving set an…
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions
René Henrion, Abderrahim Jourani, Boris S. Mordukhovich
This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distan…
Geometric characterizations of the strict Hadamard differentiability of sets
Abderrahim Jourani, Moustapha Sène
Let be a closed subset of a Banach space . Assuming that is epi-Lipschitzian at in the boundary $ \bd S$ of , we show that is strictly Hadamard differen…
Metric regularity under Gâteaux differentiability with applications to optimization and stochastic optimal control problems
Abderrahim Jourani, Francisco J. Silva
The main objective of this work is to study the existence of Lagrange multipliers for infinite dimensional problems under Gâteux differentiability assumptions on the data. Our inve…
Maximal Solutions of Sparse Analysis Regularization
Abdessamad Barbara, Abderrahim Jourani, Samuel Vaiter
This paper deals with the non-uniqueness of the solutions of an analysis-Lasso regularization. Most of previous works in this area is concerned with the case where the solution set…