Computational comparative analysis of fixed point approximations of generalized α-nonexpansive mappings in hyperbolic spaces

Abstract

In this article, we use the Picard-Thakur hybrid iterative scheme to approximate the fixed points of generalized α-nonexpansive mappings. For generalized α-nonexpansive mappings in hyperbolic spaces, we show several weak and strong convergence results. It is proved numerically and graphically that the Picard-Thakur hybrid iterative scheme converges more faster than other well-known hybrid iterative methods for generalized α-nonexpansive mappings. We also present an application to Fredholm integral equation.

Keywords

• picard-thakur hybrid iteration
• generalized α-nonexpansive mapping
• fixed point
• hyperbolic space