Necessary and sufficient optimality conditions in DC semi-infinite programming
R Correa, MA López, P Pérez-Aros - SIAM Journal on Optimization, 2021 - SIAM
This paper deals with particular families of DC optimization problems involving suprema of
convex functions. We show that the specific structure of this type of function allows us to …
convex functions. We show that the specific structure of this type of function allows us to …
Moreau envelope of supremum functions with applications to infinite and stochastic programming
P Pérez-Aros, E Vilches - SIAM Journal on Optimization, 2021 - SIAM
In this paper, we investigate the Moreau envelope of the supremum of a family of convex,
proper, and lower semicontinuous functions. Under mild assumptions, we prove that the …
proper, and lower semicontinuous functions. Under mild assumptions, we prove that the …