3 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
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…