| 一类非线性二元算子方程的迭代求解及其应用 |
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| 引用本文： | 张斐然,李俊强.一类非线性二元算子方程的迭代求解及其应用[J].大学数学,2007,23(1):79-82. |
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| 作者姓名： | 张斐然 李俊强 |
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| 作者单位： | 1. 商丘师范学院,数学系,河南,商丘,476000
2. 郑州大学,数学系,河南,郑州,450052 |
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| 基金项目： | 河南省教委科研基金资助项目(200410483004)，校级应用数学重点学科资助 |
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| 摘 要： | 运用锥与半序理论与混合单调算子理论,讨论半序Banach空间一类非线性二元算子方程解的存在唯一性,并给出迭代序列收敛于解的误差估计.作为应用,讨论了不具有单调性的算子方程的可解性,所得结果是某些已有结果的本质改进和推广.
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| 关 键 词： | 算子方程 混合单调算子 迭代解法 |
| 文章编号： | 1672-1454（2007）01-0079-04 |
| 收稿时间： | 2005-08-04 |
| 修稿时间： | 2005年8月4日 |
Iterative Solution of Some Nonlinear Binary Operator Equation and Applications |
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| ZHANG Fei-ran,LI Jun-qiang.Iterative Solution of Some Nonlinear Binary Operator Equation and Applications[J].College Mathematics,2007,23(1):79-82. |
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| Authors: | ZHANG Fei-ran LI Jun-qiang |
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| Abstract: | Using the cone and partial theory and mixed monotone aperators theory,it is studied the existence and uniqueness of solutions of a class of nonlinear binary operator equation,and the error estimates that the iterative sequences converge to solutions are also given.As the applications of the resulting results,the solvability of operator equations which do not possess monotonicity are discussed.The results presented here improve and generalize some corresponding results for mixed monotone operators. |
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| Keywords: | operator equation mixed monotone operator iterative solution |
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