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math.FA2019
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…
math.FA2018
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.