Geometries of convex and finite sets of geodesic spaces
The work consists of solutions of metric problems for convex and finite subsets of geodesic spaces.
math.MG↗
arXiv subjects
Evgenii N. Sosov
Publications and source records attributed to Evgenii N. Sosov.
The mapping of compact into the set of its Chebyshev centres is Lipschitz in the space l^n_{\infty}
In this article the authors prove strong stability of the set of all Chebyshev centres of the bounded closed subset of the metric space. We endow the set of all compacts of the space $l^n_{\infty}$ with Hausdorff metric and prove that the map which puts in correspondence to each compact of $l^n_{\infty}$ the set of its Chebyshev centres is Lipshitz.
math.MG↗