2 papers
math.OC2026
Explicit data-dependent characterizations of the subdifferential of convex pointwise suprema and optimality conditions
Stephanie Caro, Abderrahim Hantoute
We establish explicit data-dependent and symmetric characterizations of the subdifferential of the supremum of convex functions, formulated directly in terms of the underlying data…
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…