Browsing by Author "9089d75b-14f5-42a5-8250-91d4a6c4fb51"

Now showing items 1-6 of 6

    • Determination of convex functions via subgradients of minimal norm 
      Pérez Aros, Pedro Antonio; Salas Videla, David; Vilches, Emilio (Springer, 2020)
      We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded from below, for which the norm of their minimal subgradients coincide, they coincide up to a constant. Moreover, under ...
    • Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set 
      Vilches, Emilio (Springer Netherlands, 2019)
      The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full ...
    • Galerkin like method and generalized perturbed sweeping process with nonregular sets 
      Jourani, Abderrahim; Vilches, Emilio (SIAM Publications, 2017)
      In this paper we present a new method to solve differential inclusions in Hilbert spaces. This method is a Galerkin-like method where we approach the original problem by projecting the state into a n-dimensional Hilbert ...
    • Lyapunov pairs for perturbed sweeping processes 
      Hantoute, Abderrahim; Vilches, Emilio (Springer, 2018)
      We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed ...
    • On formulae for the Ioffe geometric subdifferential of a supremum function 
      Pérez Aros, Pedro; Salas, David; Vilches, Emilio (Heldermann Verlag, 2020)
      We study the first order variational behavior of the supremum of an arbitrary family of lower semicontinuous functions over a weakly compactly generated beta-smooth Banach space. In this context, we present new upper-estimations ...
    • Regularization of perturbed state-dependent sweeping processes with nonregular sets 
      Vilches, Emilio (Yokohama Publishers, 2018)
      In this paper, we prove the convergence strongly pointwisely (up to a subsequence) of Moreau-Yosida regularization of perturbed state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets in ...