Stability of slopes and subdifferentials with respect to Wijsman convergence

Marc Lassonde (1)

1 LAMIA - Laboratoire de Mathématiques Informatique et Applications

We show that the slope introduced by DeGiorgi-Marino-Tosques is stable with respect to the variational convergence introduced by Wijsman. Applications to the stability of subdifferentials at critical points and to subdifferential sum rules are derived.

Domaines: Optimisation et contrôle [math.OC]

Marc Lassonde. Stability of slopes and subdifferentials with respect to Wijsman convergence. 43st Conference on Decision and Control, Dec 2002, Las Vegas, United States. pp.3133-3134. ⟨hal-00699033v1⟩