3 citations · 10 across the 19 of their papers we have counts for
5 papers · 1 filter
A general representation of delta-normal sets to sublevels of convex functions
Abderrahim Hantoute, Anton Svensson
The (delta-) normal cone to an arbitrary intersection of sublevel sets of proper, lower semicontinuous, and convex functions is characterized, using either epsilon-subdifferentials…
Valadier-like formulas for the supremum function I
R. Correa, A. Hantoute, M. A. López
We generalize and improve the original characterization given by Valadier [18, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdif…
Valadier-like formulas for the supremum function II: The compactly indexed case
R. Correa, A. Hantoute, M. A. López
We generalize and improve the original characterization given by Valadier [20, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdif…
Subdifferential characterization of probability functions under Gaussian distribution
Abderrahim Hantoute, René Henrion, Pedro Pérez-Aros
Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input data are smooth.This fact motivates the consideration of s…
Equivalence between Differential Inclusions Involving Prox-regular sets and maximal monotone operators
Samir Adly, Abderrahim Hantoute, Bat Trang Nguyen
In this paper, we study the existence and the stability in the sense of Lyapunov of solutions for\ differential inclusions governed by the normal cone to a prox-regular set and sub…