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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.25 No.2

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STRONG CONVERGENCE OF HYBRID ITERATIVE SCHEMES WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

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
2018, v.25 no.2, pp.149-160
https://doi.org/10.7468/jksmeb.2018.25.2.149
Kim, Seung-Hyun
Kang, Mee-Kwang
Kim,, S. , & Kang,, M. (2018). STRONG CONVERGENCE OF HYBRID ITERATIVE SCHEMES WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(2), 149-160, https://doi.org/10.7468/jksmeb.2018.25.2.149

Abstract

In this paper, we prove a strong convergence result under an iterative scheme for N finite asymptotically <TEX>$k_i-strictly$</TEX> pseudo-contractive mappings and a firmly nonexpansive mappings <TEX>$S_r$</TEX>. Then, we modify this algorithm to obtain a strong convergence result by hybrid methods. Our results extend and unify the corresponding ones in [1, 2, 3, 8]. In particular, some necessary and sufficient conditions for strong convergence under Algorithm 1.1 are obtained.

keywords
strong convergence, asymptotically pseudo-contractive mapping, firmly nonexpansive mapping, equilibrium problem, hybrid iterative scheme

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

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