strong convergence of a general iteration scheme in cat(0) spaces

we introduce and study strong convergence of a general iteration scheme for a finite family of asymptotically quasi-nonexpansive maps in convex metric spaces and cat(0) spaces. the new iteration scheme includes modified mann and ishikawa iterations, the three-step iteration scheme of xu and noor and the scheme of khan, domlo and fukhar-ud-din as special cases in banach spaces. our results are refinements and generalizations of several recent results from the current literature.