Metric Regularity of the Sum of Multifunctions and Applications.

Huynh van Ngai (1) , Huu Tron Nguyen (2) , Michel Théra (2)

1 Department of Mathematics, Pedagogical University of Quynhon
2 XLIM-DMI - DMI

In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu.

Mots clés: Error bound Metric regularity Pseudo-Lipschitz property Sum-stability Variational systems Coderivative

Domaines: Optimisation et contrôle [math.OC]

Huynh van Ngai, Huu Tron Nguyen, Michel Théra. Metric Regularity of the Sum of Multifunctions and Applications.. 2013. ⟨hal-00819047⟩