# Sigma-convex functions and Sigma-subdifferentials.

Abstract:  In this talk we present and study the notion of $\sigma$-subdifferential of a proper function $f$ which contains theClarke-Rockafellar subdifferential of $f$ under some mild assumptions on $f$.

We show that some well known properties of the convex function, namely Lipschitz property in the interior of its domain, remain valid for thelarge class of $\sigma$-convex functions.

Date: Sep 23, 2020 at 10:00:00 h