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http://dx.doi.org/10.22771/nfaa.2022.27.03.01

GENERALIZED 𝛼-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES  

Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
Dashputre, Samir (Department of Mathematics, Govt. College)
Padmavati, Padmavati (Department of Mathematics, Govt. V.Y.T. Auto. P.G. College)
Sakure, Kavita (Department of Mathematics, Govt. Digvijay Auto. P.G. College)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.3, 2022 , pp. 449-469 More about this Journal
Abstract
This paper deals with the new iterative algorithm for approximating the fixed point of generalized 𝛼-nonexpansive mappings in a hyperbolic space. We show that the proposed iterative algorithm is faster than all of Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur and Piri iteration processes for contractive mappings in a Banach space. We also establish some weak and strong convergence theorems for generalized 𝛼-nonexpansive mappings in hyperbolic space. The examples and numerical results are provided in this paper for supporting our main results.
Keywords
Generalized ${\alpha}$-nonexpansive mapping; hyperbolic spaces; fixed point theorems;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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