On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Year 2023, Volume: 11 Issue: 2, 223 - 228, 25.12.2023

Nazlı Kadıoğlu Karaca

https://doi.org/10.51354/mjen.1361003

Abstract

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.

Keywords

Fixed point, generalized nonexpansive mappings, uniformly convex hyperbolic space

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