| Banach空间中极大单调算子零点的投影算法 |
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| 引用本文： | 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 |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | 河北经贸大学数学与统计学学院, 河北 石家庄 050061;华北电力大学理学院, 河北 保定 071003 |
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| 基金项目： | 国家自然科学基金(No.10771050). |
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| 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.
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| 关 键 词： | Lyapunov泛函 广义投影映射 极大单调算子. |
| 收稿时间： | 2006-07-16 |
| 修稿时间： | 2006-08-28 |
Projection Scheme for Zero Points of Maximal Monotone Operators in Banach Spaces |
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| WEI Li and ZHOU Hai Yun. Projection Scheme for Zero Points of Maximal Monotone Operators in Banach Spaces[J]. Journal of Mathematical Research with Applications, 2008, 28(4): 994-998 |
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| Authors: | WEI Li and ZHOU Hai Yun |
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| Affiliation: | School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, China;Department of Mathematics, Ordnance Engineering College, Hebei 050003, China |
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| Abstract: | 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. |
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| Keywords: | Lyapunov functional generalized projection operator maximal monotone operator. |
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