Abstract:
In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating
a fixed point of a Banach operator and establish some strong and ∆-convergence theorems for such
operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper
extend and generalize corresponding results on uniformly convex Banach spaces, CAT(0) spaces and
many other results in this direction.