Geodesic bicombings on some hyperspaces

We show that if $$(X,d)$$ is a metric space which admits consistent convex geodesic bicombing, then we can construct conical bicombing on $$CB(X)$$ , the hyperspace of nonempty, closed, bounded, and subsets $$X$$ (with Hausdorff metric). If normed or an $$\mathbb {R}$$ -tree, this same method produces . follow by examining nonempty compact assuming proper space.