Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces

Abstract

In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich-Suzuki-type nonexpansive mappings. We illustrate our main result with an example, and using Matlab code, it is observed that our iteration converges faster than the iteration defined by Garodia et al. for a pair of Reich-Suzuki-type nonexpansive mappings. An application is given to substantiate our main result.

Keywords

• hyperbolic space
• geodesic space
• reich-suzuki-type nonexpansive map
• fixed point
• 47h09
• 47h10
• 53c22