3 papers
math.FA2019
Lipschitz Continuity of Convex Functions
Bao Tran Nguyen, Pham Duy Khanh
We provide some necessary and sufficient conditions for a proper lower semicontinuous convex function, defined on a real Banach space, to be locally or globally Lipschitz continuou…
math.FA2019
Faces and Support Functions for the Values of Maximal Monotone Operators
Bao Tran Nguyen, Pham Duy Khanh
Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on uniformly Bana…
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.