2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115295We establish a Julia--Carathéodory theorem and a boundary Schwarz--Wolff lemma for hyperbolically monotone mappings in the open unit ball of a complex Hilbert spaceComplex VariablesA Julia--Carathéodory theorem for hyperbolically monotone mappings in the Hilbert balltext