Abstract:
In this paper, we introduce and study some fixed points properties and demiclosedness principle for
generalized α-nonexpansive mappings in the frame work of uniformly convex hyperbolic spaces. We further
establish strong and ∆-convergence theorems for Picard Normal S-iteration scheme generated by a generalized
α-nonexpansive mapping in the frame work of uniformly convex hyperbolic spaces. The results obtained in this
paper extend and generalize corresponding results in uniformly convex Banach spaces and many other results in
this direction.