Fréchet differentiability of Lipschitz functions via a variational principle
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Publication:967461
DOI10.4171/JEMS/202zbMath1218.49021MaRDI QIDQ967461
Joram Lindenstrauss, Jaroslav Tišer, David Preiss
Publication date: 29 April 2010
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=jems
Fréchet differentiabilityvariational principlemean value theoremLipschitz functionsAsplund space\((d,d_{0})\)-complete metric spacecone monotone functions
Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45)
Cites Work
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- Differentiability of Lipschitz functions on Banach spaces
- Gateaux differentiable functions are somewhere Fréchet differentiable
- A new proof of Fréchet differentiability of Lipschitz functions
- Cone-Monotone Functions: Differentiability and Continuity
- A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
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