Approximation of Endpoints for <i>α</i>—Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces

Abstract

The concept of an endpoint is a relatively new concept compared to the concept of a fixed point. The aim of this paper is to perform a convergence analysis of M—iteration involving α—Reich–Suzuki nonexpansive mappings. In this paper, we prove strong and Δ—convergence theorems in a hyperbolic metric space. Thus, our results generalize and improve many existing results.

Keywords

• hyperbolic metric space
• α—Riech–Suzuki nonexpansive mapping
• fixed point theorems
• endpoint