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ISSN : 1226-0657

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Vol.27 No.1

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Some Stability Results for Coincidence Point Iterative Algorithms with Three Mappings

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
2020, v.27 no.1, pp.61-70
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.61
Kim, Seung-Hyun
Kang, Mee-Kwang
Kim,, S. , & Kang,, M. (2020). Some Stability Results for Coincidence Point Iterative Algorithms with Three Mappings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 27(1), 61-70, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.61

Abstract

In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the M<sub>J</sub>-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

keywords
stability, coincidence point, iterative algorithm

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

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