A Norm Convergence Result on Random Products of Relaxed Projections in Hilbert Space
A Norm Convergence Result on Random Products of Relaxed Projections in Hilbert Space
Suppose $X$ is a Hilbert space and ${C_1}, \ldots ,{C_N}$ are closed convex intersecting subsets with projections ${P_1}, \ldots ,{P_N}$. Suppose further $r$ is a mapping from $\mathbb {N}$ onto $\{ 1, \ldots ,N\}$ that assumes every value infinitely often. We prove (a more general version of) the following result: …