Browsing by Author "8795c7fe-8cc4-4bfe-8f8e-6e51467e552c"

Now showing items 1-9 of 9

    • Discontinuous sweeping process with prox regular sets 
      Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2017)
      In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
    • Infimal convolution and optimal time control problem I: frechet and proximal subdifferentials 
      Ivanov, Grigorii E.; Thibault, Lionel (Springer, 2018-09)
      We consider a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. If the target function is the indicator function of a ...
    • Infimal convolution and optimal time control problem II: limiting subdifferential 
      Ivanov, Grigorii E.; Thibault, Lionel (Springer, 2017)
      This paper is the continuation of our study of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. We study several ...
    • Infimal convolution and optimal time control problem III: minimal time projection set 
      Ivanov, Grigorii E.; Thibault, Lionel (Siam Publications, 2018)
      We continue the investigation of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. In this paper we obtain an explicit ...
    • Prox-regularity approach to generalized equations and image projection 
      Adly, Samir; Nacry, Florent; Thibault, Lionel (EDP Sciences, 2018-04)
      In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson Ursescu type theorem. Then, we derive new significant ...
    • 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 ...
    • The NSLUC property and Klee envelope 
      Jourani, Abderrahim; Thibault, Lionel; Zagrodny, Dariusz (Springer, 2016)
      A notion called norm subdifferential local uniform convexity (NSLUC) is introduced and studied. It is shown that the property holds for all subsets of a Banach space whenever the norm is either locally uniformly convex or ...
    • Various Lipschitz-like properties for functions and sets I: Directional derivative and tangential characterizations 
      Correa Fontecilla, Rafael; Gajardo, Pedro; Thibault, Lionel (SIAM Publicationss, 2020)
      In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. For different types of sets K (e.g., zero, ...
    • Weak compactness of sublevel sets in complete locally convex spaces 
      Pérez-Aros, Pedro; Thibault, Lionel (Heldermann Verlag, 2019)
      © 2019 Heldermann Verlag. All rights reserved.In this work we prove that if X is a complete locally convex space and {equation presented} is a function such that f -x∗attains its minimum for every x∗∈ U, where U is an open ...