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A formula on the approximate subdifferential of the difference of convex functions

Published online by Cambridge University Press:  17 April 2009

J.E. Martínez-legaz  and
A. Seeger
J.E. Martínez-legaz
Affiliation:
Dept. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193-Bellaterra, Barcelona, Spain and Dept. de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 - Barcelona, Spain
A. Seeger
Affiliation:
Dept. de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 - Barcelona, Spain
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Abstract

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We give a formula on the ε−subdifferential of the difference of two convex functions. As a by-product of this formula, one recovers a recent result of Hiriart-Urruty, namely, a necessary and sufficient condition for global optimality in nonconvex optimisation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 37 - 41
Copyright
Copyright © Australian Mathematical Society 1992

References

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