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ISSN : 1226-0657

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Vol.28 No.1

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Two Kinds of Convergences in Hyperbolic Spaces in Three-step Iterative Schemes

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.1, pp.61-69
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.61
Kim, Seung Hyun
Kang, Mee Kwang
Kim,, S. H. , & Kang,, M. K. (2021). Two Kinds of Convergences in Hyperbolic Spaces in Three-step Iterative Schemes. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(1), 61-69, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.61

Abstract

In this paper, we introduce a new three-step iterative scheme for three finite families of nonexpansive mappings in hyperbolic spaces. And, we establish a strong convergence and a ∆-convergence of a given iterative scheme to a common fixed point for three finite families of nonexpansive mappings in hyperbolic spaces. Our results generalize and unify the several main results of [1, 4, 5, 9].

keywords
three-step iterative scheme, common fixed point, nonexpansive mappings, <tex> ${\Delta}$</tex>-convergence, hyperbolic spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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