Abstract:
“Our aim in this talk is to investigate the possibility of using the Fréchet and Mordukhovich second-order subdifferentials to characterize the robust quasiconvexity of C1-smooth functions. We set up a necessary condition for the robust quasiconvexity of C1,1-smooth functions and univariate C1-smooth ones. We also show that the established necessary condition is indeed a sufficient one for the robust quasiconvexity of C1-smooth functions.”