| 一类Banach空间中非线性算子方程求解的松驰法 |
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| 引用本文： | 王萍 潘状元. 一类Banach空间中非线性算子方程求解的松驰法[J]. 哈尔滨理工大学学报, 1997, 2(2): 95-97 |
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| 作者姓名： | 王萍 潘状元 |
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| 作者单位： | 哈尔滨理工大学 |
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| 摘 要： | 对Ｈｉｌｂｅｒｔ空间上拟准压缩映射及对Ｌ＾ｐ（ｐ〉２）空间强增生映射给出了Ｍａｎｎ迭代的收敛性定理，从而推广了准压缩映射和一致性增生映射的收敛性定理。
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| 关 键 词： | Mann迭代 巴拿赫空间 非线性算子方程 解 松弛法 |
The Relaxation Method in the Iterative Process forNonlinear Operator Equations in Banach Space |
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| Wang Ping,Pan Zhuangyuan,Wang Shuzhong. The Relaxation Method in the Iterative Process forNonlinear Operator Equations in Banach Space[J]. Journal of Harbin University of Science and Technology, 1997, 2(2): 95-97 |
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| Authors: | Wang Ping Pan Zhuangyuan Wang Shuzhong |
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| Abstract: | In this paper, the convergence theorm of Mann iterate for quasi - pseudocontractive map ping in Hilbert space and strongly accretive mapping in Lp (p > 2) space is given, which extends the convergence theorm for quasi - contractive mapping and uni- formly accretive mapping . |
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| Keywords: | quasi - pseudocontractive mappings strongly accretive mappings Lp space Mann iterate |
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