Affiliation:
1. Atatürk Üniversitesi, Fen Fakültesi, Matematik Bölümü
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.
Publisher
Kyrgyz-Turkish Manas University
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