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

被引：0

作者：

Kim, Seung-Hyun ^{[1
]}

Kang, Mee-Kwang ^{[2
]}

机构：

[1] Kyungsung Univ, Dept Math, Busan 48434, South Korea

[2] Dong Eui Univ, Dept Math, Busan 47340, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2018年 / 25卷 / 02期

关键词：

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

D O I：

10.7468/jksmeb.2018.25.2.149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：149 / 160

页数：12

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