CONVERGENCE THEOREMS FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY HYPERBOLIC SPACES

Abstract

In this paper, we establish strong and Δ-convergence theorems for new iteration process namely S-R iteration process for a generalized α-nonexpansive mappings in a uniformly convex hyperbolic space and also we show that our iteration process is faster than other iteration processes appear in the current literature's. Our results extend the corresponding results of Ullah et al. [5], Imdad et al. [16] in the setting of uniformly convex hyperbolic spaces and many more in this direction.