Browsing by Author "ed88d22f-0d43-45b3-acfe-341fc6509dbc"

Now showing items 1-3 of 3

    • Extended seminorms and extended topological vector spaces 
      Salas, David; Tapia García, Sebastián (2016)
      We introduce the notions of extended topological vector spaces and extended seminormed spaces, following the main ideas of extended normed spaces, which were introduced by G. Beer and J. Vanderwerff. We provide a topological ...
    • 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 ...
    • Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces 
      Correa, Rafael; Salas, David; Thibault, Lionel (Academic Press Inc., 2018)
      Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a Cp+1-smooth boundary, then ...