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Banach空间中m-增生型变分包含解的具误差的迭代逼近
引用本文:沈自飞,蒋忠樟,杨敏波.Banach空间中m-增生型变分包含解的具误差的迭代逼近[J].数学进展,2006,35(1):82-88.
作者姓名:沈自飞  蒋忠樟  杨敏波
作者单位:1. 浙江师范大学数学系,金华,浙江,321004;北京信息控制研究所,北京,100037
2. 金华职业技术学院,金华,浙江,321017
3. 浙江师范大学数学系,金华,浙江,321004
基金项目:国家自然科学基金(No.10471113),浙江省自然科学基金资助(M103098)
摘    要:本文在Banach空间中研究一类新的增生型变分包含解的存在性及其具误差的Ishikawa迭代序列的收敛性,本文结果改进与推广了近期文献中的相应结果。

关 键 词:变分包含  m-增生映象  Ishikawa迭代
文章编号:1000-0917(2006)01-0082-07
收稿时间:2003-11-05
修稿时间:2004-03-25

On the Ishikawa Iterative Approximation With Errors for Solutions to Variational Inclusion With m-accretive Type Mappings in Bannch Spaces
SHEN Zi-fei,JIANG Zhong-zhang,YANG Min-Bo.On the Ishikawa Iterative Approximation With Errors for Solutions to Variational Inclusion With m-accretive Type Mappings in Bannch Spaces[J].Advances in Mathematics,2006,35(1):82-88.
Authors:SHEN Zi-fei  JIANG Zhong-zhang  YANG Min-Bo
Institution:1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China; 2. Beijing Information Control Institute, Beijing, 100037, P. R. China; 3. Jinhua College of Profession and Technology, Jinhua, Zhejiang, 321017, P. R. China
Abstract:The purpose of this paper is to investigate the existence of solutions and convergence of Ishikawa iterative process with errors for a new class of variational inclusions with m- accertive type mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results, which were obtained by several authors early and recently.
Keywords:variational inclusion  m- accertive mapping  Ishikawa iterative process with errors
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