| L-序对称压缩二元算子方程的解及其应用 |
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| 引用本文： | 张庆政,张文君.L-序对称压缩二元算子方程的解及其应用[J].商丘师范学院学报,2003,19(2):38-42. |
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| 作者姓名： | 张庆政 张文君 |
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| 作者单位： | 1. 商丘师范学院,计算机科学系,河南,商丘,476000
2. 商丘市技工学校,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： | 引入L—序对称压缩算子的概念，利用锥与半序理论，讨论几类L—序对称压缩的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，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： | L－序对称压缩二元算子方程 解 锥 半序 迭代解法 半序Banach空间 非线性泛涵分析 |
| 文章编号： | 1672-3600(2003)02-0038-05 |
| 修稿时间： | 2002年9月8日 |
Solutions of L -ordering symmetric contraction two binary operators equations with application |
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| ZHANG Qing-zheng,ZHANG Wen-jun.Solutions of L -ordering symmetric contraction two binary operators equations with application[J].Journal of Shangqiu Teachers College,2003,19(2):38-42. |
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| Authors: | ZHANG Qing-zheng ZHANG Wen-jun |
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| Abstract: | The conception of L - ordering symmetric contraction operator is introduced. By the cone and partial ordering theory, the existence and uniqueness of solution for some L- ordering symmetric contraction two binary operators equations are studied, and the estimates of convergence rate for iterative sequence are also given. Some known results are improved. Finally, the applications of our results are given. |
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| Keywords: | L-ordering symmetric contraction operator cone and partial ordering iterative solution |
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