Abstract

On a normed linear space with uniformly Gâteaux differentiable norm a locally Lipschitz function which satisfies a property relating the Dini derivatives to a constant determined by the Michel-Penot derivative possesses significant differentiability properties. This generalises previous joint work with Simon Fitzpatrick

Author information

Contact details are reproduced from the original publication and may be historical.

John Robilliard Giles

School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2305, Australia

jan.garnsey@newcastle.edu.au

References

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Suggested citation

J. R. Giles. “Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm.” Journal of Convex Analysis 13 (2006), No. 3/4, 751–758. https://doi.org/10.68381/jca13056

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press LLC.