| 一类拟非扩张算子的不动点问题 |
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| 引用本文： | 刘海燕. 一类拟非扩张算子的不动点问题[J]. 宁夏师范学院学报, 2006, 27(6): 19-21 |
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| 作者姓名： | 刘海燕 |
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| 作者单位： | 银川三中,宁夏,银川,750001 |
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| 摘 要： | 数学中许多重要的非线性问题可归结为寻找非线性函数方程解,也即是寻找一些给定的非线性映射的不动点.已有文献介绍了Banach空间中一类非线性拟非扩张算子的不动点存在定理,但未给出不动点的构造.本文中我们证明了已有结果都能用Mann迭代方法构造出来,从而给出了一类更广的构造不动点的迭代过程.
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| 关 键 词： | Banach空间 拟非扩张算子 不动点 |
| 文章编号： | 1001-0491（2006）06-0019-03 |
| 收稿时间： | 2006-10-11 |
| 修稿时间： | 2006-10-11 |
Fixed Point Problem for a Class of Pseudo-nonexpansive Mappings |
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| LIU Hai-yan. Fixed Point Problem for a Class of Pseudo-nonexpansive Mappings[J]. Journal of Ningxia Teachers College, 2006, 27(6): 19-21 |
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| Authors: | LIU Hai-yan |
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| Affiliation: | No. 3 Middle school Yinchuan,750001, China |
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| Abstract: | Hailin has been introduced the fixed point theorem for a class of pseudo-nonexpansive operators under certain conditions.The paper analyzes the fixed points of the pseudo-nonexpansive operators can be constructed by Mann methods. |
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| Keywords: | Banach space pseudo-nonexpansive operator fixed point |
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