On Convergence Analysis of Nonexpansive Mappings Through the Implicit Midpoint Method in Hyperbolic Spaces

Using the implicit midpoint rule (IMR), we provide Δ‐convergence and strong convergence theorems for a finite family of nonexpansive mappings in the context of uniformly convex hyperbolic spaces. We additionally prove these conclusions in the context of CAT(0) spaces and uniformly convex Banach spaces as noteworthy specific examples for completeness and to demonstrate the generality of our method.