Properties of two selections in metric spaces of Busemann nonpositive curvature
Pyotr Ivanshin
Abstract
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.
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