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.OC2018
Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
Samir Adly, Abderrahim Hantoute, Bas Tran Nguyen
We give criteria for weak and strong invariant closed sets for differential inclusions given in and governed by Lipschitz Cusco perturbations of maximal monotone o…