  An operator $T$ acting on a Banach space $X$ is said to be recurrent if for
each $U$; a nonempty open subset of $X$, there exists $n\in\mathbb{N}$ such
that $T^n(U)\cap U\neq\emptyset.$ In the present work, we generalize this
notion from a single operator to a set $\Gamma$ of operators. As application,
we study the recurrence of $C$-regularized group of operators.
