Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model

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

1 Quy Nhon University
2 XLIM-MATHIS - Mathématiques & Sécurité de l'information

In this paper, we introduce a new general pseudo subregularity model which unifies some important nonlinear (sub)regularity models studied recently in the literature. Some slope and abstract coderivative characterizations are established.

Domaines: Optimisation et contrôle [math.OC]

Huynh Van Ngai, Nguyen Huu Tron, Nguyen Van Vu, Michel Théra. Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model. 2018. ⟨hal-01893002⟩