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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.FA2025
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…