Geodesic
The set of geometric medians for four-element subsets in Lindenstrauss spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 3-8

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We study the connection between the set of Steiner points for a four-element set and the set of Steiner points for a three-element subset in $L_1$-predual spaces. A Lipschitz selection is presented for the mapping from fours of continuous functions on a Hausdorff compact set to the set of their Steiner points. 
@article{VMUMM_2019_6_a0,
     author = {B. B. Bednov},
     title = {The set of geometric medians for four-element subsets in {Lindenstrauss} spaces},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--8},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/}
}
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B. B. Bednov. The set of geometric medians for four-element subsets in Lindenstrauss spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/