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math.FA2026
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…
math.OC2026
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…