5 papers
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…
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 …