| 非线性算子方程的迭代求解方法 |
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| 引用本文： | 郑琰 高兰芳 郑召文. 非线性算子方程的迭代求解方法[J]. 曲阜师范大学学报, 2005, 31(4): 20-22 |
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| 作者姓名： | 郑琰 高兰芳 郑召文 |
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| 作者单位： | [1]曲阜师范大学数学科学学院,山东省曲阜市273165 [2]淄博职业学院特业管理与消防技术系,山东省淄博市255013 |
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| 基金项目： | 国家自然科学基金（10471075）,山东省自然科学基金（Y2003A01）. |
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| 摘 要： | 在较弱的条件下,利用锥理论和单调迭代方法,建立了Banach空间中一类非线性算子方程的最大最小藕合解的存在性定理和不动点定理,并给出了相应的迭代逼近式及误差估计式,改进了一些相应结果.
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| 关 键 词： | 锥 算子方程 迭代解 |
| 文章编号： | 1001-5337（2005）04-0020-03 |
| 收稿时间： | 2004-12-28 |
| 修稿时间： | 2004-12-28 |
Iterative Solution for Some Classes of Nonlinear Operator Equations |
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| ZHENG Yan, GAO Lan-fang, ZHENG Zhao-wen. Iterative Solution for Some Classes of Nonlinear Operator Equations[J]. Journal of Qufu Normal University(Natural Science), 2005, 31(4): 20-22 |
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| Authors: | ZHENG Yan GAO Lan-fang ZHENG Zhao-wen |
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| Affiliation: | 1 College of Mathematics, Oufu Normal University, 273165, Qufu, Shandong; 2 Zibo Vocational Institute, 255013, Zibo, Shandong. PRC |
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| Abstract: | The existence of the coupled maximal and minimal solutions are studied in some weaker conditions by using the cone and partial ordering theory and monotone iterative method, and the error estimations for the convergent iteratire sequence are given as well. Some known results are also improved and generalized. |
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| Keywords: | cone operator equations iterative solution |
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