2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67698In this paper we prove an isoperimetric inequality of euclidean type for complete metric spaces admitting a cone-type inequality. These include all Banach spaces and all complete, simply-connected metric spaces of non-positive curvature in the sense of Alexandrov or, more generally, of Busemann. The main theorem generalizes results of Gromov and Ambrosio-Kirchheim.Functional AnalysisMetric Geometry49Q15text