| 利普希茨伪紧缩映射下的利普希茨摄动迭代的Bruck公式 |
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| 引用本文： | Krishna Kumar,B. K.Sharma,潘春枝.利普希茨伪紧缩映射下的利普希茨摄动迭代的Bruck公式[J].应用数学和力学,2005,26(11):1293-1300. |
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| 作者姓名： | Krishna Kumar B. K.Sharma 潘春枝 |
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| 作者单位： | 皮特·莱维桑卡苏克拉大学,数学研究院,赖普-492010,印度 |
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| 摘 要： | 在非线性分析中,处理伪紧缩算子及其变形的解(不动点)存在性和近似性,从而使演化方程的求解已经发展成为一个独立的理论.使用近似不动点技术,采用摄动迭代方法,目的是证明利普希茨伪紧缩映射序列的收敛性.该迭代方法适用于比利普希茨伪紧缩算子更一般的非线性算子以及Bruck迭代法无法证明其收敛性的情况.推广了Chidume和Zegeye的结果.
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| 关 键 词： | 伪紧缩映射 利普希茨摄动迭代 不动点 一致Gateaux微分范数 |
| 文章编号： | 1000-0887(2005)11-1293-08 |
| 收稿时间： | 09 12 2004 12:00AM |
| 修稿时间： | 2004年9月12日 |
Bruck Formula for a Perturbed Lipschitzian Iteration of Lipschitz Pseudocontractive Maps |
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| Krishna Kumar,B.K.Sharma.Bruck Formula for a Perturbed Lipschitzian Iteration of Lipschitz Pseudocontractive Maps[J].Applied Mathematics and Mechanics,2005,26(11):1293-1300. |
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| Authors: | Krishna Kumar BKSharma |
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| Abstract: | The solution to evolution equations has developed an independent theory within nonlinear analysis dealing with the existence and approximation of such solution(fixed point) of pseudocontractive operators and its variants.The object is to introduce a perturbed iteration method for proving the convergence of sequence of Lipschitzian pseudocontractive mapping using approximate fixed point technique.This iteration can be ued for nonlinear operators which are more general than Lipschitzian pseudocontractive operator and Bruck iteration fails for proving their convergence.Our results generalize the results of Chidume and Zegeye. |
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| Keywords: | pseudocontractive map perturbed Lipschitzian iteration fixed point uniformaly Gateaux differential norm |
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