Successive approximations for quasi-firmly type nonexpansive mappings

被引：0

作者：

Song, Yisheng ^{[1
]}

Li, Qingchun ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

MATHEMATICAL COMMUNICATIONS | 2011年 / 16卷 / 01期

关键词：

quasi-firmly type nonexpansive mappings; Ishikawa-type iteration; Krasnoselskii-Mann iteration; FIXED-POINTS; BANACH-SPACES; ITERATIVE PROCESS; WEAK CONVERGENCE; KRASNOSELSKI; SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two examples of quasi-firmly type nonexpansive mappings are given to prove that the concept is different from nonexpansive mapping. Furthermore, it is studied to the convergence of the sequence of successive approximations for this class of mappings only when the super limit of iteration coefficients is less than 1. In particular, the Picard iteration {T-n x(0)} of such a mapping converges to a fixed point of T in a compact metric space.

引用

页码：251 / 264

页数：14

共 30 条

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