Fréchet differentiability of Lipschitz functions via a variational principle
Joram Lindenstrauss
The Hebrew University, Jerusalem, IsraelDavid Preiss
University of Warwick, Coventry, United KingdomJaroslav Tišer
Czech Technical University, Prague, Czech Republic
Abstract
We prove a new variational principle which in particular does not assume the completeness of the domain. As an application we give a new, more natural, proof of the fact that a real valued Lipschitz function on an Asplund space has points of Fréchet differentiability.
Cite this article
Joram Lindenstrauss, David Preiss, Jaroslav Tišer, Fréchet differentiability of Lipschitz functions via a variational principle. J. Eur. Math. Soc. 12 (2010), no. 2, pp. 385–412
DOI 10.4171/JEMS/202