Abstract
We show that, for a (not necessarily continuous) weakly contractive mean-type mapping mathbf {M} :I^prightarrow I^p (where I is an interval and p in mathbb {N}), the functional equation K circ mathbf {M}=K has at most one solution in the family of continuous means K :I^p rightarrow I. Some general approach to this equation is also given.
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