Browsing by Author "e4a212a4-602f-4210-84ab-ba78167260ae"

Now showing items 1-4 of 4

    • Boundary of Maximal Monotone Operators Values 
      Hantoute, Abderrahim; Nguyen, Bao Tran (Springer, 2020)
      We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...
    • Faces and Support Functions for the Values of Maximal Monotone Operators 
      Nguyen, Bao Tran; Khanh, Pham Duy (Springer, 2020)
      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 reflexive and locally uniformly convex real Banach spaces ...
    • Lipschitz Continuity of Convex Functions 
      Nguyen, Bao Tran; Khanh, Pham Duy (Springer, 2020)
      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 continuous. Our criteria rely on the existence of ...
    • Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators 
      Adly, Samir; Hantoute, Abderrahim; Nguyen, Bao Tran (Springer, 2020)
      We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...