Bulletin of the Australian Mathematical Society

Research Article

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

J.E. Martínez-legaza1 and A. Seegera2

a1 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

a2 Dept. de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 - Barcelona, Spain

Abstract

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.

(Received January 08 1991)