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Let LUC$(S)$ be the space of left uniformly continuous functions on asemitopological semigroup $S$. Suppose that $S$ is right reversible and$\operatorname{LUC}(S)$ has a left invariant mean. Let $(X,d)$ be a Fr\'echetspace. 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 thatevery jointly $\tau$-continuous and super asymptotically $d$-nonexpansiveaction $S\times K\mapsto K$ of $S$ has a common fixed point. Similar results inthe locally convex space setting are provided.

Super Asymptotically Nonexpansive Actions of Semitopological Semigroups on Frechet and Locally Convex Spaces