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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 6, Pages 47–51 (Mi ivm6944)  
Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space

E. N. Sosov

Chair of Geometry, Kazan State University, Kazan, Russia
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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 Chebyshev center belongs to the closure of the convex shell of the mentioned set.
Keywords: Chebyshev center, geodesic space.
Received: 21.04.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 6, Pages 39–42
DOI: https://doi.org/10.3103/S1066369X10060058
Bibliographic databases:
Document Type: Article
UDC: 515.124
Language: Russian
Citation: E. N. Sosov, “Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 6, 47–51; Russian Math. (Iz. VUZ), 54:6 (2010), 39–42
Citation in format AMSBIB
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\by E.~N.~Sosov
\paper Sufficient conditions for existence and uniqueness of a~Chebyshev center of a~nonempty bounded set in a~geodesic space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 6
\pages 47--51
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779421}
\elib{https://elibrary.ru/item.asp?id=13053549}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 6
\pages 39--42
\crossref{https://doi.org/10.3103/S1066369X10060058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649609109}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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