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Subgradient representation of multifunctions

Published online by Cambridge University Press:  17 February 2009

J. Borwein ,
W. B. Moors  and
Y. Shao
J. Borwein
Affiliation:
CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
W. B. Moors
Affiliation:
Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
Y. Shao
Affiliation:
CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
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Abstract

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We provide necessary and sufficient conditions for a minimal upper semicontinuous multifunction defined on a separable Banach space to be the subdifferential mapping of a Lipschitz function.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 3 , January 1999 , pp. 301 - 313
Copyright
Copyright © Australian Mathematical Society 1999

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