  Let LUC$(S)$ be the space of left uniformly continuous functions on a
semitopological semigroup $S$. Suppose that $S$ is right reversible and
$\operatorname{LUC}(S)$ has a left invariant mean. Let $(X,d)$ be a Fr\'echet
space. Let $\tau$ be a locally convex topology of $X$ weaker than the
$d$-topology such that the metric $d$ is $\tau$-lower semicontinuous. Let $K$
be a $d$--separable and $\tau$--compact convex subset of $X$. We show that
every jointly $\tau$-continuous and super asymptotically $d$-nonexpansive
action $S\times K\mapsto K$ of $S$ has a common fixed point. Similar results in
the locally convex space setting are provided.
