Browsing by Author "28889c9d-7e18-45d5-8f89-b0ef06e0f929"

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    • Characterizations of the subdifferential of convex integral functions under qualification conditions 
      Correa, Rafael; Hantoute, Abderrahim; Pérez Aros, Pedro Antonio (Academic Press Inc., 2019)
      This work provides formulae for the ε-subdifferential of integral functions in the framework of complete σ-finite measure spaces and locally convex spaces. In this work we present here new formulae for this ε-subdifferential ...
    • Moreau-Rockafellar-type formulas for the subdifferential of the supremum function 
      Correa, Rafael; Hantoute, Abderrahim; López-Cerdá, Marco A. (Society for Industrial and Applied Mathematics Publications, 2019)
      We characterize the subdifferential of the supremum function of finitely and infinitely indexed families of convex functions. The main contribution of this paper consists of providing formulas for such a subdifferential ...
    • 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 ...