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On two-loci of metric projections

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma II, Via della Ricerca Scientifica, I-00133 Roma, Italy, Italy

    F. S. de Blasi

  2. Institute of Mathematics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria, Bulgaria

    N. V. Zhivkov

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  1. F. S. de Blasi
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  2. N. V. Zhivkov
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Received: 12.11.1997

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de Blasi, F., Zhivkov, N. On two-loci of metric projections. Arch. Math. 73, 42–49 (1999). https://doi.org/10.1007/s000130050018

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  • DOI: https://doi.org/10.1007/s000130050018

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