Geodesic
On existence and uniqueness of Chebyshev center of bounded set in a~special geodesic space
Lobachevskii journal of mathematics, Tome 7 (2000), pp. 43-45

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In this paper we obtain sufficient conditions for existence and uniqueness of Chebyshev center of nonempty bounded set in a special geodesic space. Analogous conditions for Banach space are well known [1]. 
@article{LJM_2000_7_a3,
     author = {E. N. Sosov},
     title = {On existence and uniqueness of {Chebyshev} center of bounded set in a~special geodesic space},
     journal = {Lobachevskii journal of mathematics},
     pages = {43--45},
     publisher = {mathdoc},
     volume = {7},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2000_7_a3/}
}
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E. N. Sosov. On existence and uniqueness of Chebyshev center of bounded set in a~special geodesic space. Lobachevskii journal of mathematics, Tome 7 (2000), pp. 43-45. http://geodesic.mathdoc.fr/item/LJM_2000_7_a3/