Banach空间中含m-增生算子方程的迭代问题

佟慧; 王娴

doi:10.3969/j.issn.1000-1565.2008.03.004

河北大学学报(自然科学版) >

2008 , Vol. 28 >Issue 3: 234 - 236

DOI: https://doi.org/10.3969/j.issn.1000-1565.2008.03.004

Banach空间中含m-增生算子方程的迭代问题

佟慧 ,
王娴

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河北大学,数学与计算机学院,河北,保定 071002

网络出版日期: 2008-05-25

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Iteration Process for Perturbed m-Accretive Operators Equation in Banach Spaces

TONG Hui ,
WANG Xian

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Online published: 2008-05-25

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摘要

采用带误差的Ishikawa迭代,研究了形如z∈Sx +λAx( λ0)的非线性算子方程的近似解问题.

关键词： m-增生算子; 带误差的Ishikawa迭代; 方程近似解

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佟慧 , 王娴 . Banach空间中含m-增生算子方程的迭代问题[J]. 河北大学学报(自然科学版), 2008 , 28(3) : 234 -236 . DOI: 10.3969/j.issn.1000-1565.2008.03.004

参考文献

[1] Chang SS., Lee BS., Jung JS., Kang SM., Cho YJ.. Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces [J]. Journal of Mathematical Analysis and Applications 1998, 1(1).
[2] JUNG J S. herative methods with mixed errors for perturbed m-accretive operator equations in arbitrary Bauach Spaces [J]. Journal of Math Compe Mode 2002, 35.
[3] NADLER S B. Multi-valued contraction mappings [J]. Pacific Journal of Mathematics 1969, 30.
[4] LIN L A. Ishikawa and Mann iterative process with errors for nonlinear strongly Accretive mappings in Banach Spaces [J]. Journal of Mathematical Analysis and Applications 1995, 194.
[5] JUNG J S, MORALES C H. The Mann process for perturbed m-accretive operators in Bauach Spaces [J]. Nonlinear Analysis-Theory Methods and Applications 2001, 46.

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