| Banach空间中几类二元算子方程组解的存在唯一性 |
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| 引用本文： | 张斐然. Banach空间中几类二元算子方程组解的存在唯一性[J]. 河南科学, 2003, 21(3): 262-264 |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
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| 基金项目： | 河南省教委科研基金(1999110018) |
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| 摘 要： | 利用锥与半序理论,研究半序实Banacn空间中几类二元混合单调算子方程组解的存在唯一性,并给出各种选代序列收敛速度的误差估计,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： | 锥与半序 混合单调算子 方程组 迭代解法 |
| 文章编号： | 1004-3918(2003)03-0262-03 |
| 修稿时间： | 2003-02-24 |
Existence and uniqueness of solutions for systems of some mixed monotone operator equations in banach spaces |
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| ZHANG Fei-ran. Existence and uniqueness of solutions for systems of some mixed monotone operator equations in banach spaces[J]. Henan Science, 2003, 21(3): 262-264 |
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| Authors: | ZHANG Fei-ran |
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| Abstract: | By using the cone and partial ordering throry. In this paper it studies existence and uniqueness of solutions for systems of some mixed monotone operator equations in partial ordering Banach spaces. And it is given several kinds of error estimate of iterative sequence convergence. The results presented here are the essential improvement for some corresponding results. |
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| Keywords: | cone and partial orderin mixed monotone operator system of equations inerative solutions |
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