paper

Properties of two selections in metric spaces of Busemann nonpositive curvature

arXiv:math/0702361

Abstract

In this article the author presents results on the selection for the space of convex hulls of 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