83 citations · 490 across the 30 of their papers we have counts for
3 papers · 1 filter
Zero Duality Gap in View of Abstract Convexity
Hoa T. Bui, Regina S. Burachik, Alexander Y. Kruger +1
Using tools provided by the theory of abstract convexity, we extend conditions for zero duality gap to the context of nonconvex and nonsmooth optimization. Mimicking the classical…
Necessary Conditions for Non-Intersection of Collections of Sets
Hoa T. Bui, Alexander Y. Kruger
This paper continues studies of non-intersection properties of finite collections of sets initiated 40 years ago by the extremal principle. We study elementary non-intersection pro…
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…