  Let $S$ be a right reversible semitopological semigroup, and let
$\operatorname{LUC}(S)$ be the space of left uniformly continuous functions on
$S$. Suppose that $\operatorname{LUC}(S)$ has a left invariant mean. Let $K$ be
a weakly compact convex subset of a Banach space. We show that there always
exists a common fixed point for any jointly weakly continuous and super
asymptotically nonexpansive action of $S$ on $K$. Several variances involving
the weak* compactness, the RNP, the distality of $K$ and/or the left
reversibility of $S$ are also provided.
