3 citations · 13 across the 12 of their papers we have counts for
14 papers
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…
Optimality conditions in DC constrained mathematical programming problems
Rafael Correa, Marco A. López, Pedro Pérez-Aros
This paper provides necessary and sufficient optimality conditions for abstract constrained mathematical programming problems in locally convex spaces under new qualification condi…
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation
Boris S. Mordukhovich, Pedro Pérez-Aros
This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient condit…
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…
Generalized Leibniz rules and Lipschitzian stability for expected-integral mappings
Boris S. Mordukhovich, Pedro Pérez-Aros
This paper is devoted to the study of the expected-integral multifunctions given in the form \begin{equation*} \operatorname{E}_Φ(x):=\int_TΦ_t(x)dμ, \end{equation*} where $Φ\colon…
Generalized Sequential Differential Calculus for Expected-Integral Functionals
Boris S. Mordukhovich, Pedro Pérez-Aros
Motivated by applications to stochastic programming, we introduce and study the expected-integral functionals, which are mappings given in an integral form depending on two variabl…
New extremal principles with applications to stochastic and semi-infinite programming
Boris S. Mordukhovich, Pedro Pérez-Aros
This paper develops new extremal principles of variational analysis that are motivated by applications to constrained problems of stochastic programming and semi-infinite programmi…
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 …
Ergodic Approach to Robust Optimization and Infinite Programming Problems
Pedro Pérez-Aros
In this work, we show the consistency of an approach for solving robust optimization problems using sequences of sub-problems generated by ergodic measure preserving transformation…
Characterizations of the subdifferential of convex integral functions under qualification conditions
Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros
This work provides formulae for the -subdifferential of integral functions in the framework of complete -finite measure spaces and locally convex spaces. In this work we pres…
Qualification conditions-free characterizations of the -subdifferential of convex integral functions
Rafael Correa, Abderrahim Hantoute, Pedro Pérez-Aros
We provide formulae for the -subdifferential of the integral function where the integrand is measu…
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 where is a (not necessarily convex) normal integrand, $({T},\m…
Weak compactness of sublevel sets in complete locally convex spaces
Pedro Pérez-Aros, Lionel Thibaul
In this work we prove that if is a complete locally convex space and is a function such that attains its minimum for every $x^\a…