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Second-order normal vectors to a convex epigraph

Published online by Cambridge University Press:  17 April 2009

Alberto Seeger
Alberto Seeger
Affiliation:
King Fahd University of Petroleum and Minerals Department of Mathematical Sciences Dhahran 31261, Saudi Arabia
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Abstract

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The second–order behaviour of a nonsmooth convex function f is reflected by the so–called second–order subdifferential mapping ∂2f. This mathematical object has been intensively studied in recent years. Here we study ∂2f in connection with the geometric concept of “second-order normal vector” to the epigraph of f.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 123 - 134
Copyright
Copyright © Australian Mathematical Society 1994

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