Some new subdifferential calculus rules for the sum of convex functions

par Abderrahim Hantoute (Universidad de Chile)

vendredi 7 nov. 2014, 10:45 → 11:30 Europe/Paris

XLIM Salle X.203

We present some new rules for the calculus of the subdifferential mapping of the sum of convex functions, possibly infinite. At a first glace, when dealing with many finitely functions, our conditions give an intermediate level of generality between those yielding the well-known rule of Moreau-Rockafellar rule, which only uses the exact subdifferential, and the free-qualification rule which uses the approximate subdifferential. This analysis is extended then to functionals given in the form of integral. Our results are in particular applied to derive asymptotic optimality conditions for semi-infinite convex analysis among others in the from the calculus of variations. Key words: Convex functions, exact and approximate subdifferentials, subdifferentials calculus rules, convex semi-infinite optimisation, optimality conditions.