| 一类单调算子的不动点定理 |
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| 引用本文： | 郭亚梅,王恒斌.一类单调算子的不动点定理[J].安阳师范学院学报,2006(5):12-13. |
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| 作者姓名： | 郭亚梅 王恒斌 |
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| 作者单位： | 安阳师范学院,数学系,河南,安阳,455002 |
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| 摘 要： | 用正规锥的性质和上下解方法,构造出了一组柯西序列,从而得到一类单调算子的不动点定理,并给出了收敛误差估计,改进推广了文献4—6]中的结果.
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| 关 键 词： | 锥 半序 单调算子 迭代解法 误差估计 |
| 文章编号： | 1671-5330(2006)05-0012-02 |
| 收稿时间： | 2006-05-09 |
| 修稿时间： | 2006年5月9日 |
The Fixed Point of A Monotone Operator |
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| GUO Ya-mei,WANG Heng-bin.The Fixed Point of A Monotone Operator[J].Journal of Aayang Teachers College,2006(5):12-13. |
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| Authors: | GUO Ya-mei WANG Heng-bin |
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| Institution: | Department of Mathematics, Anyang Normal College, Anyang 455000, China |
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| Abstract: | Using the normal cone and compressive principle,the article makes up a group of iterative sequence,and the fixed point of monotone operator is given.The error estimates for iterative sequence are also given,and some results in reference are improved and generalized. |
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| Keywords: | Cone partially order monotone operator error estimate |
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