Proceedings of the Centre for Mathematics and its Applications

On generic differntiability of locally Lipschitz functions on Banach space

Simon Fitzpatrick, J. R. Giles, and G. de Barra

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Abstract

Recently David Preiss proved a remarkable theorem about dense differentiability of locally Lipschitz functions on Banach spaces. Using his result and adopting a technique of Petru: Kenderov used to prove generic differentiability of convex ftLnctions we establish similar generic differentiability properties for locally Lipschitz functions. We apply our results to determine further differentiability properties of distance functions.

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 39-49

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340101

Mathematical Reviews number (MathSciNet)
MR1009592

Citation

de Barra, G.; Fitzpatrick, Simon; Giles, J. R. On generic differntiability of locally Lipschitz functions on Banach space. Workshop/Miniconference on Functional Analysis and Optimization, 39--49, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340101


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