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http://dx.doi.org/10.7468/jksmeb.2021.28.1.61

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

Kim, Seung Hyun (Department of Mathematics, Kyungsung University)
Kang, Mee Kwang (Department of Mathematics, Dongeui University)
Publication Information
The Pure and Applied Mathematics / v.28, no.1, 2021 , pp. 61-69 More about this Journal
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; ${\Delta}$-convergence; hyperbolic spaces;
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Times Cited By KSCI : 1  (Citation Analysis)
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