On generalized differentiation and Lipschitzian properties of implicitely given multifunctions

ao.Univ.-Prof. Dipl.-Ing. Dr. Helmut Gfrerer

April 12, 2016, 1:45 p.m. S2 059

In this talk we first present some well-known concepts of generalized differentiation for set-valued mappings and show how the requirement of the regularity of the partial derivative in the classical Implicit Function Theorem can be generalized to the multi-valued case. In the second part we study some recent results on Lipschitzian properties of implicitely given multifunctions like the Aubin property or calmness.

Abstract