### Speaker: Prof. Mohammad Hossein Alizadeh

### Institute for Advanced Studies in Basic Sciences (IASBS),

Zanjan, Iran

### Date: September 23, 2020 at 10:00

**Title**: 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 the Clarke-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 the large class of $\sigma$-convex functions.

A recorded video of the conference is here; the slides can be downloaded here

**Venue**: Online via Google Meet meet.google.com/uoq-kifr-nsg

**A brief biography of the speaker**: Mohammad Hossein Alizadeh is an Assistant

Professor at the Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran. He obtains his Ph.D. from the University the Aegean, Greece, in 2012. He is mainly interested in the following areas:

Monotone and generalized monotone operators, Monotone and generalized monotone

bifunctions, generalized convexity and generalized inverses.

**Coordinators**: Abderrahim Hantoute (CMM) and Fabián Flores-Bazán (Universidad de Concepción)