2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222446A functional Menger system is a set of $n$-place functions containing $n$ projections and closed under the so-called Menger's composition of $n$-place functions. We give the abstract characterization for subsets of these functional systems which contain functions having one common fixed point.16 pagesGeneral MathematicsRepresentation Theory20N15; 08N05text