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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Kyungsung University)
Kang, Mee Kwang (Department of Mathematics, Dongeui University)

Kim, Seung Hyun, & Kang, Mee Kwang. (2021). TWO KINDS OF CONVERGENCES IN HYPERBOLIC SPACES IN THREE-STEP ITERATIVE SCHEMES. 한국수학교육학회지시리즈B:순수및응용수학, 28(1), 61-69, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.61

복사

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

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논문 상세

Vol.28 No.1

TWO KINDS OF CONVERGENCES IN HYPERBOLIC SPACES IN THREE-STEP ITERATIVE SCHEMES

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학