Common fixed point theorems of two finite families of asymptotically quasi-nonexpansive mappings in hyperbolic spaces

In this paper, we establish strong convergence theorems via an implicit algorithm for two finite families of uniformly L-Lipschitzian asymptotically quasi-nonexpansive maps in hyperbolic spaces.We prove some results concerning ∆-convergence as well as strong convergence of the implicit algorithm.Our results are the generalization of some recent results in CAT(0) spaces, uniformly convex Banach spaces, and hyperbolic spaces.