1 citations · 2 across the 6 of their papers we have counts for
6 papers
Normal cones to sublevel sets of convex and quasi-convex supremum functions
Stephanie Caro, Rafael Correa, Abderrahim Hantoute
We provide sharp and explicit characterizations of the normal cone to sublevel sets of suprema of arbitrary functions, expressed exclusively in terms of subdifferentials of the dat…
Relaxation in infinite convex programming under Slater-type regularity conditions
Rafael Correa, Abderrahim Hantoute, Marco A. López
The main purpose of this paper is to close the gap between the optimal values of an infinite convex program and that of its biconjugate relaxation. It is shown that Slater and cont…
Duality for the -convergence of convex functions
Rafael Correa, Pedro Pérez-Aros, José Pablo Santander
We extend the duality principle for the -convergence of convex lower semicontinuous functions, which was previously established only in separable reflexive Banach spaces, to the…
Convex regularization and subdifferential calculus
Rafael Correa, Abderrahim Hantoute, Marco A. López
This paper deals with the regularization of the sum of functions defined on a locally convex spaces through their closed-convex hulls in the bidual space. Different conditions guar…
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…