2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223520We consider some random iterated function systems on the interval and show that the invariant measure has density in $\mathcal{C}^\infty$. To prove this we use some techniques for contractions in cone metrics, applied to the transfer operator.13 pagesDynamical Systems37H99, 60D05text