Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Brahim Aghezzaf

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

Said Sajid

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

Keywords

  • Continuous multifunctions
  • compact multifunctions
  • contingent cone
  • second-order cintingent set

Mathematics Subject Classification

34A60

Suggested citation

B. Aghezzaf, S. Sajid. “On the Second-Order Contingent Set and Differential Inclusions.” Journal of Convex Analysis 7 (2000), No. 1, 183–196.

Copyright Heldermann Verlag 2000