On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space
Nazli Kadioglu Karaca · MANAS Journal of Engineering · 2023
In this paper, we introduce the definition of a new class of generalized nonexpansive mappings in hyperbolic space. Additionally, we construct the rewritten version of the Mann iteration process in hyperbolic space. Then, using the iterative procedure we established, we prove convergence theorems for 𝑎−𝑏−generalized nonexpansive mappings in a uniformly convex hyperbolic space. Lastly, we offer a numerical example to illustrate our findings.