ISHIKAWA ITERATIVE SEQUENCE FOR THE GENERALIZED LIPSCHITZIAN AND phi-STRONGLY ACCRETIVE MAPPINGS IN BANACH SPACES

被引：0

作者：

Xue Zhiqun ^{[1
]}

Wang Zhiming ^{[2
]}

机构：

[1] Shijiazhuang Railway Inst, Dept Mat, Shijiazhuang 050043, Peoples R China

[2] Tangshan Univ, Basic Dept, Tangshan 063000, Peoples R China

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2006年 / 29卷

基金：

美国国家科学基金会;

关键词：

uniformly smooth Banach space; phi-strongly accretive mapping; generalized Lipschitzian mapping; Ishikawa iterative process;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a real uniformly smooth Banach space, T : E -> E be a generalized Lipschitzian and phi-strongly accretive mapping. It is shown that under suitable conditions the Ishikawa iterative process converges strongly to the unique solution of the equation Tx = f. A related result deals with approximation of the unique fixed point of a generalized Lipschitzian phi-strongly pseudo-contractive mapping.

引用

页码：203 / 213

页数：11

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