Some Convergence Results for Modified S-Iterative Scheme in Hyperbolic Spaces

Abstract

The aim of this paper is to prove strong and △-convergence theorems of modified S-iterative scheme for asymptotically quasi-nonexpansive mapping in hyperbolic spaces. The results obtained generalize several results of uniformly convex Banach spaces and CAT(0) spaces.

On Some Strong and Δ- Convergence Results for SKC Mappings in Hyperbolic Spaces

“…x be a bounded sequence in a metric space X. We define a functional (.,{ }) : Many authors have studied the strong and △convergence of various iterative schemes in hyperbolic spaces (see [1], [6], [20], [21], [22], [23], [24]). In the next section, we establish strong and △convergence of S-iterative scheme in hyperbolic spaces for SKC mappings.…”