Iteration schema for common fixed points of nonlinear mappings in spaces of nonpositive curvature

In this paper, we propose a one-step iteration for the approximation of common fixed points of two uniformly continuous total asymptotically quasi-nonexpansive mappings in uniformly convex hyperbolic spaces. We establish strong convergence and, Delta-convergence results of the proposed iteration in this setting. As a consequence, our convergence results improve and generalize various results announced in the current literature.