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 the assumptions that the moving sets are uniformly prox-regular and Lipschitz continuous with respect to the Hausdorff distance and that the...
A. Jourani, D. Narváez, Emilio Vilches· 0 citations
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We present a subdifferential analysis for a general concept of infinite sum
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A. Hantoute, A. Jourani, J. Vicente-Pérez· Journal of Convex Analysis· 1 citation
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 and is driven by an outer set-valued perturbation together with a history-dependent integral term that endows the dynamics with memory. The pe...
A. Jourani, D. Narváez, Emilio Vilches· 2 citations
This paper introduces an approach to study what is called the canonical conditioner μf, the continuity, Lipschitz continuity, differentiability, and subdifferentiability properties of μf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}
A. Balhag, A. Jourani· Journal of Optimization Theo...· 0 citations
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