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Archiv der Mathematik

, Volume 73, Issue 1, pp 42–49 | Cite as

On two-loci of metric projections

  • F. S. de Blasi
  • N. V. Zhivkov
Article

Abstract.

A typical closed and bounded subset M of a separable strictly convex Banach space X generates a metric projection (nearest point mapping) which is two-valued on a dense and everywhere continual subset CM of X.

Keywords

Banach Space Point Mapping Convex Banach Space 

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • F. S. de Blasi
    • 1
  • N. V. Zhivkov
    • 2
  1. 1.Dipartimento di Matematica, Università di Roma II, Via della Ricerca Scientifica, I-00133 Roma, ItalyItaly
  2. 2.Institute of Mathematics, Bulgarian Academy of Sciences, Sofia 1113, BulgariaBulgaria

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