魏利,周海云.Banach空间中极大单调算子零点的投影算法[J].数学研究及应用,2008,28(4):994~998 |
Banach空间中极大单调算子零点的投影算法 |
Projection Scheme for Zero Points of Maximal Monotone Operators in Banach Spaces |
投稿时间:2006-07-16 修订日期:2006-08-28 |
DOI:10.3770/j.issn:1000-341X.2008.04.033 |
中文关键词: Lyapunov泛函 广义投影映射 极大单调算子. |
英文关键词:Lyapunov functional generalized projection operator maximal monotone operator. |
基金项目:国家自然科学基金(No.10771050). |
|
摘要点击次数: 7263 |
全文下载次数: 1762 |
中文摘要: |
本文设计了一种极大单调算子零点的带误差项的新投影迭代算法,并在Banach空间中,利用Lyapunov泛函与广义投影映射等技巧,证明了迭代序列强收敛于极大单调算子零点的结论. |
英文摘要: |
A new projection scheme with errors for zero points of maximal monotone operators is introduced and is proved to be strongly convergent to zero points of maximal monotone operators in Banach space by using the techniques of Lyapunov functional and generalized projection operator, etc. |
查看全文 查看/发表评论 下载PDF阅读器 |