JournalsjemsVol. 12 , No. 2DOI 10.4171/jems/202

Fréchet differentiability of Lipschitz functions via a variational principle

  • Joram Lindenstrauss

    The Hebrew University, Jerusalem, Israel
  • David Preiss

    University of Warwick, Coventry, United Kingdom
  • Jaroslav Tišer

    Czech Technical University, Prague, Czech Republic
Fréchet differentiability of Lipschitz functions via a variational principle cover

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.