바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

Article Contents

Prev Next
e-Submission

Vol.28 No.1

Citation Share

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 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: Theoretical Mathematics and Pedagogical Mathematics

e-Submission OA Policy