Variational Analysis: An Overview – Boris Mordukhovich (Wayne State University, Detroit, USA)

This talk presents a brief overview of basic principles and constructions of variational analysis and generalized differentiation with reviewing some underlying results and areas of applications. In particular, we axiomatically define subdifferentials of nonsmooth functions and normal to closed sets with their major realizations, present the extremal principle and its applications to generalized Lagrange multiplier rules, and formulate necessary optimality conditions for general problems of optimal control of ODE and PDE systems.