Speaker: Dr Vera Roshchina, RMIT University
Date and Time: Tuesday 2 August 2016, 11:00am
Title: Subdifferentials of structured functions
I will talk about geometric construction of Fréchet and limiting subdifferentials for finite minima of functions subdifferentiable in the sense of Demyanov-Rubinov. Such functions have convex directional derivatives and under additional assumptions their subdifferentials preserve enough directional information to make such construction possible. For instance, approximate convex functions introduced by Huynh Van Ngai, Dinh The Luc and Michel Théra satisfy such assumptions.
These results are in the same spirit as the classic expressions for the Clarke subdifferential in terms of quasidifferentials originally developed by Demyanov and Rubinov.
The talk will be based on some old papers and recent joint work with Tian Sang (RMIT University).