An example on the Mann iteration method for Lipschitz pseudocontractions

被引：195

作者：

Chidume, CE ^{[1
]}

Mutangadura, SA

机构：

[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

[2] Univ Zimbabwe, Dept Phys, Harare, Zimbabwe

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-01-06009-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An example of a Lipschitz pseudocontractive map with a unique fixed point is constructed for which the Mann iteration sequence fails to converge. This resolves a long standing open problem.

引用

页码：2359 / 2363

页数：5

共 12 条

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