  We characterize the family of continuous functions $f\in C([0,1])$ such that
the iterates $\widehat{T}^{k}_{i} f$ converge uniformly on $[0,1]$, where
$\widehat{T}_i$ is a generalized Kantorovich operator. This gives an
affirmative answer to the problem raised in 2021 by Acu and Rasa.
