2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.FA2025★ 1 cited
Primal and dual characterizations of sign-symmetric norms
Nguyen Duy Cuong
The paper studies primal and dual characterizations of a class of sign-symmetric norms on product vector spaces. Correspondences between these norms and a class of convex functions…
math.OC2025★ 2 cited
Sequential Extremal Principle and Necessary Conditions for Minimizing Sequences
Nguyen Duy Cuong, Alexander Y. Kruger
The conventional definition of extremality of a finite collection of sets is extended by replacing a fixed point (extremal point) in the intersection of the sets by a collection of…
math.FA2024★ 1 cited
Generalized Separation of Collections of Sets
Nguyen Duy Cuong, Alexander Y. Kruger
We show that the existing generalized separation statements including the conventional extremal principle and its extensions differ {in the ways norms on product spaces are defined…