Lyapunov functions for evolution variational inequalities with locally prox-regular sets

Abderrahim Hantoute (1) , Marc Mazade (2)

1 CMM - Centre de modélisation mathématique / Centro de Modelamiento Matemático [Santiago]
2 ACSIOM - Analyse, Calcul Scientifique Industriel et Optimisation de Montpellier

This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality, holding in the Hilbert setting. We give on the other hand a general criterion for Lyapunov pairs of this dynamical system and some results on the asymptotic behaviour of the solution.

Mots clés: Evolution variational inequalities; Lyapunov pair; Asymptotic behaviour; Differential inclusions; Proximal normal cone; Uniformly prox-regular set; Hypomonotonicity; Asymptotic behaviour.

Domaines: Optimisation et contrôle [math.OC]

Abderrahim Hantoute, Marc Mazade. Lyapunov functions for evolution variational inequalities with locally prox-regular sets. 2013. ⟨hal-00825173⟩