| 几类非线性二元算子方程的迭代解法及其应用 |
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| 引用本文： | 张庆政. 几类非线性二元算子方程的迭代解法及其应用[J]. 数学研究, 2003, 36(4): 407-411 |
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| 作者姓名： | 张庆政 |
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| 作者单位： | 商丘师范学院计算机科学系,河南,商丘,476000 |
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| 基金项目： | 河南省教委重点科研基金项目(2000110019);商丘市科技攻关项目(200211125) |
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| 摘 要： | 利用锥与半序理论和单调迭代技巧，讨论几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速度的估计，改进和推广了某些已有结果．最后给出所得结果的应用。
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| 关 键 词： | 非线性算子 算子方程 锥与半序 迭代解法 |
| 修稿时间： | 2002-01-22 |
Iterative Solution of Some Classes Nonlinear Two Binary Operators Equations with Applications |
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| Zhang Qingzheng. Iterative Solution of Some Classes Nonlinear Two Binary Operators Equations with Applications[J]. Journal of Mathematical Study, 2003, 36(4): 407-411 |
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| Authors: | Zhang Qingzheng |
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| Abstract: | Using the cone and partial ordering theory and monotone iterative technique, the existence and uniqueness of solution for some nonlinear two binary operators equations are discussed. And the estimates of convergence rate for iterative sequence are also given. Some known results are improved and generalized. Finally, the applications of our results are given. |
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| Keywords: | nonlinear operator operator equations- cone and partial ordering iterative solution |
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