Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
Keywords:The Weber problema, Weighted Geometric Median, Riemannian manifold, Strongly convex set
AbstractIn this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.
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