Yet more on the differentiability of convex functions

Author:
John Rainwater

Journal:
Proc. Amer. Math. Soc. **103** (1988), 773-778

MSC:
Primary 46G05; Secondary 26B05, 46B22, 58C06, 90C48

MathSciNet review:
947656

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Abstract | References | Similar Articles | Additional Information

Abstract: Generic differentiability theorems are obtained for convex functions which are defined and locally Lipschitzian on the convex subset of nonsupport points of a closed convex subset of a Banach space , which is assumed to be either an Asplund space (for Fréchet differentiability) or to be weakly compactly generated (for Gateaux differentiability).

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1988-0947656-7

Keywords:
Convex functions,
convex sets,
support points,
Asplund spaces,
weak Asplund spaces,
usco maps

Article copyright:
© Copyright 1988
American Mathematical Society