41 citations · 71 across the 13 of their papers we have counts for
14 papers
Nonlinear and orbital directional regularities for set-valued mappings and applications to fixed points
Marius Durea, Nguyen Huu Tron, Michel Théra
Motivated by developments in metric regularity theory for set-valued mappings, this paper introduces several directional regularity notions that are weaker than the corresponding c…
Dually cone-boundedness of a set and applications
Marius Durea, Elena-Cristina Stamate
We introduce and study a generalized concept of boundedness of a subset of a normed vector space with respect to a cone, which is defined as lower boundedness of the images of the…
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…
Sequential cone-compactness does not imply cone-compactness
Marius Durea, Elena-Andreea Florea
We address a problem posed in [1] by demonstrating through an example that, in the absence of separability, the property of sequential cone compactness does not generally imply con…
Subdifferential calculus and ideal solutions for set optimization problems
Marius Durea, Elena-Andreea Florea
We explore the possibility to derive basic calculus rules for some subdifferential constructions associated to set-valued maps between normed vector spaces. Then, we use these resu…
Conic cancellation laws and some applications
Marius Durea, Elena-Andreea Florea
We discuss, on finite and infinite dimensional normed vector spaces, some versions of Radström cancellation law (or lemma) that are suited for applications to set optimization prob…