Browsing by Author "Hantoute, Abderrahim"

Now showing items 1-6 of 6

    • Characterizations of convex approximate subdifferential calculus in banach spaces 
      Correa Fontecilla, Rafael; Hantoute, Abderrahim; Jourani, A. (Amer Mathematical Soc, 2016)
      We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the continuity behaviour of the inf-convolution of their corresponding ...
    • Integration formulas via the Fenchel subdifferential of nonconvex functions 
      Correa, Rafael; García, Yboon; Hantoute, Abderrahim (PERGAMON-ELSEVIER SCIENCE LTD, 2012-02)
      Starting from explicit expressions for the subdifferential of the conjugate function, we establish in the Banach space setting some integration results for the so-called epi-pointed functions. These results use the ...
    • LOWER SEMICONTINUOUS CONVEX RELAXATION IN OPTIMIZATION 
      Correa Fontecilla, Rafael; Hantoute, Abderrahim (Society for Industrial and Applied Mathematics, 2013)
      We relate the argmin sets of a given function, not necessarily convex or lower semicontinuous, and its lower semicontinuous convex hull by means of explicit characterizations involving an appropriate concept of asymptotic ...
    • New tour on the subdifferential of supremum via finite sums and suprema 
      Hantoute, Abderrahim; López Cerda, Mauricio Alfredo (Springer, 2021)
      This paper provides new characterizations for the subdifferential of the pointwise supremum of an arbitrary family of convex functions. The main feature of our approach is that the normal cone to the effective domain of ...
    • Nonsmooth Lur'e Dynamical Systems in Hilbert Spaces 
      Adly, Samir; Hantoute, Abderrahim; Ba, Khiet Le (Springer, 2016)
      In this paper, we study the well-posedness and stability analysis of set-valued Lur'e dynamical systems in infinite-dimensional Hilbert spaces. The existence and uniqueness results are established under the so-called ...
    • Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions 
      Adly, Samir; Hantoute, Abderrahim; Thera, Michel (PERGAMON-ELSEVIER SCIENCE LTD, 2012-02)
      The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions ...