Iterative solutions of nonlinear equations with φ-strongly accretive operators in uniformly smooth Banach spaces

被引：7
|
作者：
Liu, ZQ
Kang, SM
机构：
[1] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China
[2] Gyeongsan Natl Univ, Dept Math, Chinju 660701, South Korea
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 4-5期
关键词：
Ishikawa iteration sequence with errors; demicontinuous operator; phi-strongly accretive operator; phi-strongly pseudocontractive operator; uniformly smooth Banach space;
D O I：
10.1016/S0898-1221(03)00022-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that X is a uniformly smooth Banach space and T : X --> X is a demicontinuous (not necessarily Lipschitz) phi-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = Tx and f = x + Tx, respectively. A related result deals with the approximation of fixed points of phi-strongly pseudo contractive operators. Our results extend, improve, and unify the recent results obtained by Chidume [1,2] and Zhou [3]. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码：623 / 634
页数：12
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