3 papers
math.OC2026
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…
math.OC2026
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…
math.OC2021
Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes
Diana Narváez, Emilio Vilches
In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively -far). Based on the Moreau-Yosida regul…