5 papers
A Note on the Finite Convergence of Alternating Projections
Hoa T. Bui, Ryan Loxton, Asghar Moeini
We establish sufficient conditions for finite convergence of the alternating projections method for two non-intersecting and potentially nonconvex sets. Our results are based on a…
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…
Some new characterizations of intrinsic transversality in Hilbert spaces
Nguyen Hieu Thao, Hoa Thi Bui, Nguyen Duy Cuong +1
Motivated by a number of research questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new character…
Characterizations of Nonsmooth Robustly Quasiconvex Functions
Hoa T. Bui, Pham Duy Khanh, Tran Thi Tu Trinh
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces.
The linkedness of cubical polytopes
Hoa Thi Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The paper is concerned with the linkedness of the graphs of cubical polytopes. A gra…