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Nearby sets and centers

  • Approximation Theory
  • Conference paper
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Approximation and Optimization

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1354))

Abstract

Let us consider a Banach space X and a class C of subsets in X. Let c be a (Chebyshev) center of CεC; it is known that under some assumptions on Cand/or X, if {Cn} is a sequence from C converging to C according to the Hausdorff metric h(Cn,C), then c is the limit of a sequence of centers of Cn. Here we shall discuss some estimates of the distance between cn and c, in terms of h(Cn,C).

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, University of Parma, I-43100, Parma, Italia

    Marco Baronti

  2. Dipartimento di Matematica, University of Bologna, I-40126, Bologna, Italia

    Pier Luigi Papini

Authors
  1. Marco Baronti
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  2. Pier Luigi Papini
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Editor information

Juan Alfredo Gómez-Fernandez Francisco Guerra-Vázquez Guillermo López-Lagomasino Miguel A. Jiménez-Pozo

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© 1988 Springer-Verlag

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Baronti, M., Papini, P.L. (1988). Nearby sets and centers. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089585

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  • DOI: https://doi.org/10.1007/BFb0089585

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

  • eBook Packages: Springer Book Archive

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