Geodesic
Sufficient conditions for existence and uniqueness of a~Chebyshev center of a~nonempty bounded set in a~geodesic space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 47-51

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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. 
@article{IVM_2010_6_a4,
     author = {E. N. Sosov},
     title = {Sufficient conditions for existence and uniqueness of {a~Chebyshev} center of a~nonempty bounded set in a~geodesic space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {47--51},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_6_a4/}
}
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E. N. Sosov. Sufficient conditions for existence and uniqueness of a~Chebyshev center of a~nonempty bounded set in a~geodesic space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 47-51. http://geodesic.mathdoc.fr/item/IVM_2010_6_a4/