Pedro Pérez-Aros

activity

20182022

most citedTikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets

3 citations · 13 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.OC2018★ 3 cited

Characterizations of the subdifferential of convex integral functions under qualification conditions

Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros

This work provides formulae for the $ε$ -subdifferential of integral functions in the framework of complete $σ$ -finite measure spaces and locally convex spaces. In this work we pres…

math.OC2018

Qualification conditions-free characterizations of the $ε$ -subdifferential of convex integral functions

Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros

We provide formulae for the $ε$ -subdifferential of the integral function $I_{f} (x) := \int_{T} f (t, x) d μ (t),$ where the integrand $f : T \times X \to [- \infty, + \infty]$ is measu…

math.OC2018★ 3 cited

Sequential and exact formulae for the subdifferential of nonconvex integral functionals

Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros

This work concerns the study of the subdifferential of the integral functional $E_{f} (x) = \int_{T} f (t, x) d μ (t),$ where $f$ is a (not necessarily convex) normal integrand, $({T},\m…

math.FA2018

Weak compactness of sublevel sets in complete locally convex spaces

Pedro Pérez-Aros, Lionel Thibaul

In this work we prove that if $X$ is a complete locally convex space and $f : X \to R \cup {+ \infty}$ is a function such that $f - x^{*}$ attains its minimum for every $x^\a…

Characterizations of the subdifferential of convex integral functions under qualification conditions

Qualification conditions-free characterizations of the ε-subdifferential of convex integral functions

Sequential and exact formulae for the subdifferential of nonconvex integral functionals

Weak compactness of sublevel sets in complete locally convex spaces

Qualification conditions-free characterizations of the $ε$ -subdifferential of convex integral functions