In this paper, we consider an iteration process to approximate a common random fixed point of a finite family of asymptotically quasi-nonexpansive random mappings in convex metric spaces. Our results extend and improve several known results in recent literature.

The purpose of this paper is to study strong and ∆ - convergence a newly defined iteration common fixed point two asymptotically nonexpansive self mappings in hyperbolic space framework. We provide an example comparison table support our assertions.