| 一类混合单调算子方程解的Mann迭代序列的收敛性 |
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| 引用本文： | 雷丽.一类混合单调算子方程解的Mann迭代序列的收敛性[J].西南民族学院学报(自然科学版),2007,33(6):1274-1276. |
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| 作者姓名： | 雷丽 |
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| 作者单位： | 商丘职业技术学院 河南商丘476000 |
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| 摘 要： | 利用Mann迭代技巧,讨论了不具有连续性和紧性条件的混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.
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| 关 键 词： | Mann迭代 锥与半序 混合单调算子 不动点 |
| 文章编号： | 1003-2843（2007）06-1274-03 |
| 收稿时间： | 2007-08-21 |
| 修稿时间： | 2007年8月21日 |
The convergence of Mann iterative sequences of solutions for some mixed monotone operator equations |
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| LEI Li.The convergence of Mann iterative sequences of solutions for some mixed monotone operator equations[J].Journal of Southwest Nationalities College(Natural Science Edition),2007,33(6):1274-1276. |
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| Authors: | LEI Li |
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| Abstract: | By using Mann iterative technique,This paper studies the existence and uniqueness of solutions of mixed monotone operator equations without continuity and compactness conditions. And the iteration sequences which converge to solution of operator equations and the error estimates are also given. The results presented here improve and generalize some corresponding results. |
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| Keywords: | Mann iterative cone and partial ordering mixed monotone operator fixed point |
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