A fixed-point approach to barycenters in Wasserstein space

Pedro C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1

Let ${\mathcal{P}}_{2,ac}$ be the set of Borel probabilities on ${\mathbb{R}}^d$ with finite second moment and absolutely continuous with respect to Lebesgue measure. We consider the p…