41 citations · 70 across the 8 of their papers we have counts for
9 papers
Necessary conditions for approximate solutions of vector and set optimization problems with variable domination structure
Marius Durea, Christian Günther, Radu Strugariu +1
We consider vector and set optimization problems with respect to variable domination structures given by set-valued mappings acting between the preimage space and the image space o…
Bishop-Phelps Type Scalarization for Vector Optimization in Real Topological-Linear Spaces
Christian Günther, Bahareh Khazayel, Radu Strugariu +1
It is well-known that scalarization techniques (e.g., in the sense of Gerstewitz; Kasimbeyli; Pascoletti and Serafini; Zaffaroni) are useful for generating (weakly, properly) effic…
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…
On Subregularity Properties of Set-Valued Mappings. Applications to Solid Vector Optimization
Marius Apetrii, Marius Durea, Radu Strugariu
In this work we classify the at-point regularities of set-valued mappings into two categories and then we analyze their relationship through several implications and examples. Afte…
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…