Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations

被引：3

作者：

Yousefi, Bahman ^{[1
]}

Yadegarnejad, Ali ^{[1
]}

Kenary, Hassan Azadi ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Beyza Branch, Dept Math, Beyza, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

semistability; Picard iteration; Mann iteration; Krasnoselskij iteration; Ishikawa iteration; FIXED-POINT THEOREMS; CONE METRIC-SPACES; T-STABILITIES;

D O I：

10.1186/1687-1812-2014-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that convergence of Picard, Mann, Krasnoselskij and Ishikawa iterations is equivalent in cone normed spaces. Also, we prove that semistability of these iterations is equivalent.

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页数：14

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