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Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space

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Abstract

We obtain sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space. We also establish conditions under which the unique Chebyshev center of a nonempty bounded set in a geodesic space belongs to the closure of the convex hull of this set.

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Authors and Affiliations

  1. Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    E. N. Sosov

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  1. E. N. Sosov
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Correspondence to E. N. Sosov.

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Original Russian Text © E.N. Sosov, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 6, pp. 47–51.

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Sosov, E.N. Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space. Russ Math. 54, 39–42 (2010). https://doi.org/10.3103/S1066369X10060058

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  • DOI: https://doi.org/10.3103/S1066369X10060058

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