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On weak Hadamard differentiability of convex functions on Banach spaces

Published online by Cambridge University Press:  17 April 2009

J.R. Giles  and
Scott Sciffer
J.R. Giles
Affiliation:
Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
Scott Sciffer
Affiliation:
Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
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Abstract

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We study two variants of weak Hadamard differentiability of continuous convex functions on a Banach space, uniform weak Hadamard differentiability and weak Hadamard directional differentiability, and determine their special properties on Banach spaces which do not contain a subspace topologically isomorphic to l1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 1 , August 1996 , pp. 155 - 166
Copyright
Copyright © Australian Mathematical Society 1996

References

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