Geodesic
The Fermat--Steiner problem in the space of compact subsets of the Euclidean plane
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 44-55.

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The Fermat–Steiner problem if the problem of finding all points of a metric space $Y$ such that the sum of the distances from them to points of a certain fixed finite subset $A$ of the space $Y$ is minimal. In this paper, we examine the Fermat–Steiner problem in the case where $Y$ is the space of compact subsets of the Euclidean plane endowed with the Hausdorff metric, and points of $A$ are finite pairwise disjoint compact sets.
Keywords: Fermat–Steiner problem, compact subset, Euclidean space, Steiner compact.
Mots-clés : Hausdorff distance 
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A. H. Galstyan. The Fermat--Steiner problem in the space of compact subsets of the Euclidean plane. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 44-55. http://geodesic.mathdoc.fr/item/INTO_2020_175_a4/

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