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Journal of Convex Analysis 07 (2000), No. 1, 183--196
Copyright Heldermann Verlag 2000

On the Second-Order Contingent Set and Differential Inclusions

Brahim Aghezzaf
Dép. de Mathématiques, Faculté des Sciences, 5366 Maarif, Casablance, Marocco

Said Sajid
Dép. de Mathématiques, F. S. T. M., Mohammadia, Marocco

It is shown that the second-order contingent set to a closed convex set coincides with the contingent cone to this set. Furthermore, sufficient conditions are given to prove the existence of viable solution for second-order differential inclusions.

Keywords: Continuous multifunctions, compact multifunctions, contingent cone, second-order cintingent set.

MSC: 34A60

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