  We show existence of an invariant probability measure for a class of
functional McKean-Vlasov SDEs by applying Kakutani's fixed point theorem to a
suitable class of probability measures on a space of continuous functions.
Unlike some previous works, we do not assume a monotonicity condition to hold.
Further, our conditions are even weaker than some results in the literature on
invariant probability measures for functional SDEs without dependence on the
law of the solution.
