Open-multicommutativity of some functors related to the functor of probability measures

The property of a normal functor to be open-multicommutative proposed by Kozhan and Zarichnyi (2004) is investigated. A number of normal functors related to the functor of probability measures and equipped with convex structure are considered here and it is proved that the functors $cc$, $ccP$, $G_{cc}P$ and $\lambda_{cc}P$ are open-multicommutative.}