| 一类随机非单调二元算子的随机不动点定理 |
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| 引用本文： | 田素霞,吕芳.一类随机非单调二元算子的随机不动点定理[J].海军工程大学学报,2008,20(2):14-16. |
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| 作者姓名： | 田素霞 吕芳 |
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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. 洛阳师范学院,数学系,河南,洛阳,471022 |
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| 摘 要： | 利用Mann迭代技巧,讨论了不具有紧性条件的随机非单调二元算子方程随机不动点的存在唯一性,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的本质改进和推广。
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| 关 键 词： | Mann迭代 随机混合单调算子 随机不动点 正规锥 |
| 文章编号： | 1009-3486(2008)02-0014-03 |
| 修稿时间： | 2007年11月26 |
Random fixed point theorems for a class of random non-monotone binary operator |
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| TIAN Su-xia,L Fang.Random fixed point theorems for a class of random non-monotone binary operator[J].Journal of Naval University of Engineering,2008,20(2):14-16. |
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| Authors: | TIAN Su-xia L Fang |
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| Institution: | TIAN Su-xia,L(U) Fang |
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| Abstract: | The existence and uniqueness of random fixed point of random non-monotone binary operator equations without compactness conditions was studied by using the cone theory and Mann iterative technique,and the iteration sequences which converge to solution of operator equations and the error estimates were also given.The results improve and generalize some corresponding results which have already known. |
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| Keywords: | Mann iterative random mixed monotone operator random fixed point nomal cone |
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