41 citations · 70 across the 8 of their papers we have counts for
4 papers · 1 filter
Metric regularity of composition set-valued mappings: metric setting and coderivative conditions
Marius Durea, Van Ngai Huynh, Huu Tron Nguyen +1
The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refin…
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…
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…