Cyclic projections in Hadamard spaces
arXiv:2104.09026 · doi:10.1007/s10957-022-02043-w
Abstract
We show that cyclic products of projections onto convex subsets of Hadamard spaces can behave in a more complicated way than in Hilbert spaces, resolving a problem formulated by Miroslav Bačák. Namely, we construct an example of convex subsets in a Hadamard space such that the corresponding cyclic product of projections is not asymptotically regular.
6 pages, 3 figures