Properties of two selections in metric spaces of Busemann nonpositive curvature
Abstract
Description
In this article the author presents results on the selection for the space of convex hulls of $n$ points and compacts of the complete convex metric space of Busemann nonpositve curvature. Namely, we determine Lipschitz and Hölder properties of barycenter and cirumcenter mappings.
10 pages
10 pages