一类具有Lipschitz条件的非线性映象的迭代过程

谷峰

一类具有Lipschitz条件的非线性映象的迭代过程

谷峰

齐齐哈尔大学数学系, 黑龙江, 齐齐哈尔, 161006

详细信息

作者简介:
谷峰(1960- ),男,黑龙江明水人,副教授.

中图分类号: O177.91
计量
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- 被引次数: 0
出版历程
- 收稿日期: 1999-09-17
- 修回日期: 2001-05-31
- 刊出日期: 2001-12-15

Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition

GU Feng

Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, P. R. China

摘要

摘要: 使用新的分析技巧,讨论了Lipschitzφ-强增生算子方程的解和Lipschitzφ-强伪压缩映象不动点的迭代逼近问题.改进和推广了Chang,Chidume,Deng-Ding,Deng,Tan-Xu和Osilike等人的相关结果.
- φ-强增生算子 /
- φ-强伪压缩映象 /
- Ishikawa迭代序列 /
- Mann迭代序列
Abstract: Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz φ-strongly accretive operators and of fixed points for Lipschitz φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.
- φ-strongly accretive operator /
- φ-strongly pseudo-contractive mapping /
- Ishikawa iterative sequence /
- Mann iterative sequence

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参考文献(14)

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