On the continuity of the best copositive approximation function

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Abstract

In this paper the author studies the continuity of the best copositive approximation function that maps C(Q) onto any of its finite dimensional Haar subspaces, when Q is any compact subset of the real numbers. In the case when M is a Z-subspace of C(Q), the author characterizes those f∈C(Q) at which the copositive metric projection is continuous. He also proves that the copositive metric projection as a function, is always discontinuous.

Original languageEnglish
Pages (from-to)94-102
Number of pages9
JournalInternational Journal of Applied Mathematics and Statistics
Volume11
Issue numberNO7
Publication statusPublished - Nov 2007

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Keywords

  • Best copositive approximation
  • Chebyshev spaces
  • Copositive metric projection
  • Haar subspaces
  • Z-subspace

ASJC Scopus subject areas

  • Applied Mathematics

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