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math.OC2026
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…
math.OC2026
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…