An approach to optimality in convex optimization via some new Moreau- Rockafellar type formulas for the subdifferential of the supremum function.

Abstract: We present different characterizations of the subdifferential of the supremum function of finitely and infinitely indexed families of convex functions under weak continuity assumptions. The resulting formulas are given in terms of the exact subdifferential of the data functions at the
reference point, and not at nearby points. Based on these characterizations we give new Fritz-John and KKT-type optimality conditions for semi-infinite convex optimization, dropping out the typical continuity/closedness assumptions which are usual in the literature. The presentation is a selection of results established in a recent manuscript, entitled “Moreau-Rockafellar type formulas for the subdifferential of the supremum function”, co-authored by R. Correa, A. Hantoute and M.A. López.

Date: Nov 07, 2018 at 2018-11-05 16:30:00 h
Venue: Sala de seminarios CMM John Von Neumann, ubicada en la Torre Norte piso 7, de Beauchef 851.
Speaker: Profesor Marco A. López
Affiliation: Alicante University, España
Coordinator: Prof. Juan Peypouquet

Posted on Nov 5, 2018 in Optimization and Equilibrium, Seminars