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

ISSN : 3059-0604

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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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2018, v.25 no.2, pp.149-160
https://doi.org/10.7468/jksmeb.2018.25.2.149
Kim, Seung-Hyun (Department of Mathematics, Kyungsung University)
Kang, Mee-Kwang (Department of Mathematics, Dongeui University)
Kim, Seung-Hyun, & Kang, Mee-Kwang. (2018). STRONG CONVERGENCE OF HYBRID ITERATIVE SCHEMES WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS, 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 $k_i-strictly$ pseudo-contractive mappings and a firmly nonexpansive mappings $S_r$. 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

한국수학교육학회지시리즈B:순수및응용수학

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