It is now well known [4] that the Banach principle for probabilistic contractions is valid in complete Meiger spaces under a continuous $t$-norms whose iterations are equicontinuous at $x=1$. The aim if this note is to give a chatacterization of this class of $t$-norms and to show that the above mentioned principle can be obtained from the classical. Thus we obtain an improvement of our similar result in [6] where the Min case was considered. The terminology and the notations areas in [2,10].