Some Stability Results for Coincidence Point Iterative Algorithms with Three Mappings

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

Kim, Seung-Hyun, & Kang, Mee-Kwang. (2020). SOME STABILITY RESULTS FOR COINCIDENCE POINT ITERATIVE ALGORITHMS WITH THREE MAPPINGS. 한국수학교육학회지시리즈B:순수및응용수학, 27(1), 61-70, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.61

복사

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

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논문 상세

Vol.27 No.1

SOME STABILITY RESULTS FOR COINCIDENCE POINT ITERATIVE ALGORITHMS WITH THREE MAPPINGS

Some Stability Results for Coincidence Point Iterative Algorithms with Three Mappings

Abstract

한국수학교육학회지시리즈B:순수및응용수학