5 citations · 5 across the 3 of their papers we have counts for
6 papers
Extremality of families of sets and set-valued optimization
Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao
The paper explores a new extremality model involving collections of arbitrary families of sets. We demonstrate its applicability to set-valued optimization problems with general pr…
Extremality of families of sets
Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao
The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventio…
Lyusternik-Graves Theorem for Holder Metric Regularity
Nguyen Duy Cuong
The paper extends the well-known Lyusternik-Graves theorem for set-valued mappings to the Holder framework, offers an affirmative answer to an open problem proposed by Dontchev and…
Error bounds revisited
Nguyen Duy Cuong, Alexander Y. Kruger
We propose a unifying general framework of quantitative primal and dual sufficient and necessary error bound conditions covering linear and nonlinear, local and global settings. Th…
Uniform Regularity of Set-Valued Mappings and Stability of Implicit Multifunctions
Nguyen Duy Cuong, Alexander Y. Kruger
We propose a unifying general (i.e. not assuming the mapping to have any particular structure) view on the theory of regularity and clarify the relationships between the existing p…
Transversality Properties: Primal Sufficient Conditions
Nguyen Duy Cuong, Alexander Y. Kruger
The paper studies 'good arrangements' (transversality properties) of collections of sets in a normed vector space near a given point in their intersection. We target primal (metric…