Caractérisation du module d'une fonction additive à l'aide d'une équation fonctionelle.
A characterization of some classes of functions F which have a representation of the formF(x,y) = φ(h(x)+k(y))is given, when F is monotonic in each variable but not strictly monotonic. Some particular results concern classes of solutions of the bisymmetry or associativity equations.
We give a characterization of the globally Lipschitzian composition operators acting in the space