A Novel Noor Iterative Technique for Mixed Type Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Abstract

The aim of this paper is to propose a novel Noor iteration technique for approximating a common fixed point of three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in hyperbolic spaces. Then, a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space is established. The results presented in this paper extend, unify and generalize some previous works from the current existing literature.