Stable Krasnoselskij-type Iterative Solution for Accretive Operator Equation x + Ax = f in Arbitrary Banach Spaces

Xian Li; Tao Wang; Yuguang Xu

首页> 外文期刊>Mathematics Sciences Research Journal >Stable Krasnoselskij-type Iterative Solution for Accretive Operator Equation x + Ax = f in Arbitrary Banach Spaces

【24h】

Stable Krasnoselskij-type Iterative Solution for Accretive Operator Equation x + Ax = f in Arbitrary Banach Spaces

机译：任意Banach空间中增生算子方程x + Ax = f的稳定Krasnoselskij型迭代解

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Let X be a Banach space. Suppose that A: X → X is a Lipschitz accretive operator and x +Ax = f is a nonlinear equation with accretive operator. The objective of this note is to discuss simultaneously the existence and uniqueness of solution of the equation, and its convergence, convergence rate estimate and stability of Krasnoselskij iterative procedure. If iterative parameter is selected suitably,then Krasnoselskij iterative procedure converges strongly to the solution and the iterative process is stable. 2000 MSC: 47H17, 47H06, 47H10.

机译：令X为Banach空间。假设A：X→X是Lipschitz增生算子，x + Ax = f是带有增生算子的非线性方程。该注释的目的是同时讨论方程解的存在性和唯一性，以及其收敛性，收敛速度估计和Krasnoselskij迭代过程的稳定性。如果适当选择了迭代参数，则Krasnoselskij迭代过程将很容易收敛到解，并且迭代过程是稳定的。 2000 MSC：47H17、47H06、47H10。

著录项

来源
《Mathematics Sciences Research Journal》 |2013年第3期|共7页
作者
Xian Li; Tao Wang; Yuguang Xu;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类 51;
关键词
accretive operator; Krasnoselskij iterative procedure; stability;

机译：增生算子;Krasnoselskij迭代过程;稳定性;

相似文献

外文文献
中文文献
专利

1. Stable Krasnoselskij-type Iterative Solution for Accretive Operator Equation x + Ax = f in Arbitrary Banach Spaces [J] . Xian Li, Tao Wang, Yuguang Xu Mathematics Sciences Research Journal . 2013,第3期

机译：任意Banach空间中增生算子方程x + Ax = f的稳定Krasnoselskij型迭代解
2. Krasnosel’ski?-Mann-Opial type iterative solution of m -accretive operator equation and its stability in arbitrary Banach spaces [J] . Yuguang Xu, Zeqin Liu, Zuhua Liu Fixexd point theory and applications . 2014,第1期

机译：m-增生算子方程的Krasnosel'ski？-Mann-Opial型迭代解及其在任意Banach空间中的稳定性
3. Ishikawa-type iterative solution of m-accretive operator equation and its stability in arbitrary Banach spaces [J] . Shyamal Kumar Hui, Richard S. Lemence International journal of mathematical analysis . 2013,第57期

机译：m-增生算子方程的Ishikawa型迭代解及其在任意Banach空间中的稳定性
4. Iterative methods for solving a new system of variational inclusions with (A, η)-accretive operators in Banach spaces [C] . Jun-Min Chen, Tie-Gang Fan, Xue-Fei Li The Second International Joint Conference on Computational Science and Optimization(CSO 2009)（2009 国际计算科学与优化会议）论文集 . 2009

机译：Banach空间中具有（A，η）增生算子的新变分包含系统的迭代方法
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
6. Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications [O] . Yongchun Xu, Jinyu Guan, Yanxia Tang, -1

机译：非膨胀算子方程的多元系统及其在一致凸和一致光滑Banach空间中求解它们的迭代算法及其应用
7. Krasnosel’skiĭ-Mann-Opial type iterative solution of m-accretive operator equation and its stability in arbitrary Banach spaces [O] . Yuguang Xu, Zeqin Liu, Zuhua Liu 2014

机译：m-增生算子方程的Krasnosel'skiĭ-Mann-Opial型迭代解及其在任意Banach空间中的稳定性
8. Strong Convergence of Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces. [R] . Nevanlinna, O., Reich, S. 1978

机译：Banach空间中增生算子的收缩半群的强收敛性及迭代算法。

Stable Krasnoselskij-type Iterative Solution for Accretive Operator Equation x + Ax = f in Arbitrary Banach Spaces

摘要

著录项

相似文献

相关主题

期刊订阅