3 citations · 5 across the 11 of their papers we have counts for
12 papers
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…
Catching-up Algorithm with Approximate Projections for Moreau's Sweeping Processes
Juan Guillermo Garrido, Emilio Vilches
In this paper, we develop an enhanced version of the catching-up algorithm for sweeping processes through an appropriate concept of approximate projections. We establish some prope…
Galerkin-like Method for Integro-Differential Inclusions with applications to Volterra Sweeping processes
Pedro Pérez-Aros, Manuel Torres-Valdebenito, Emilio Vilches
In this paper, we develop the Galerkin-like method to address first-order integro-differential inclusions. Under compactness or monotonicity conditions, we obtain new results for t…
Inner Moreau envelope of nonsmooth conic chance constrained optimization problems
Wim van Ackooij, Pedro Pérez-Aros, Claudia Soto +1
Optimization problems with uncertainty in the constraints occur in many applications. Particularly, probability functions present a natural form to deal with this situation. Nevert…
Integral functionals on nonseparable Banach spaces with applications
Juan Guillermo Garrido, Pedro Pérez-Aros, Emilio Vilches
In this paper, we study integral functionals defined on spaces of functions with values on general (non-separable) Banach spaces. We introduce a new class of integrands and multifu…
Random multifunctions as the set minimizers of infinitely many differentiable random functions
Juan Guillermo Garrido, Pedro Pérez-Aros, Emilio Vilches
Under mild assumptions, we prove that any random multifunction can be represented as the set of minimizers of an infinitely many differentiable normal integrand, which preserves th…
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…
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Giovanni Colombo, Paolo Gidoni, Emilio Vilches
We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining…
Proximal determination of convex functions
Emilio Vilches
We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function…
Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets
Pedro Pérez-Aros, Emilio Vilches
In this paper, we propose a Tikhonov-like regularization for dynamical systems associated with non-expansive operators defined in closed and convex sets of a Hilbert space. We prov…
An enhanced Baillon-Haddad theorem for convex functions on convex sets
Pedro Pérez-Aros, Emilio Vilches
The Baillon-Haddad theorem establishes that the gradient of a convex and continuously differentiable function defined in a Hilbert space is -Lipschitz if and only if it is …