The purpose of this paper is to prove that if $C$ is a weakly compact convex subset of a Banach space $E$ satisfying Opial's condition and $T: C\to C$ is an asymptotically quasi-nonexpansive affine mapping such that $F(T)\neq\varnothing$, then for all $x\in C$, $\{T^nx\}$ is weakly almost-convergent to some $z\in F(T)$.
