Ergodic behaviour of a Douglas-Rachford operator away from the origin
Jonathan Michael Borwein, Ohad Giladi · arXiv (Cornell University) · 2017
It is shown that away from the origin, the Douglas-Rachford operator with respect to a sphere and a convex set in a Hilbert space can be approximated by a another operator which satisfies a weak ergodic theorem. Similar results for other projection and reflection operators are also discussed.