41 citations · 70 across the 8 of their papers we have counts for
5 papers · 1 filter
Calculus of Tangent Sets and Derivatives of Set Valued Maps under Metric Subregularity Conditions
M. Durea, R. Strugariu
In this paper we intend to give some calculus rules for tangent sets in the sense of Bouligand and Ursescu, as well as for corresponding derivatives of set-valued maps. Both first…
Chain Rules for Linear Openness in Metric Spaces. Applications to Parametric Variational Systems
Marius Durea, Radu Strugariu
In this work we present a general theorem concerning chain rules for linear openness of set-valued mappings acting between metric spaces. As particular cases, we obtain classical a…
Openness Stability and Implicit Multifunction Theorems. Applications to Variational Systems
Marius Durea, Radu Strugariu
In this paper we aim to present two general results regarding, on one hand, the openness stability of set-valued maps and, on the other hand, the metric regularity behavior of the…
On Parametric Vector Optimization via Metric Regularity of Constraint Systems
Marius Durea, Radu Strugariu
Some metric and graphical regularity properties of generalized constraint systems are investigated. Then, these properties are applied in order to penalize (in the sense of Clarke)…
Filling the Gap between Metric Regularity and Fixed Points: The Linear Openness of Compositions
Marius Durea, Radu Strugariu
This paper is devoted to the investigation of an important issue recently brought into attention by a recent paper of Arutyunov: the relation between openness of composition of set…