| 一类随机算子方程的随机解的存在唯一性 |
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| 引用本文： | 薛玲霞.一类随机算子方程的随机解的存在唯一性[J].大学数学,2011,27(4):71-74. |
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| 作者姓名： | 薛玲霞 |
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| 作者单位： | 郑州旅游职业学院,河南郑州,450009 |
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| 基金项目： | 河南省自科学基金资助项目 |
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| 摘 要： | 利用Mann迭代技巧,讨论了一类随机算子方程A（ω,x（ω）,x（ω））=B（ω,x（ω））的随机解的存在唯一性,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 随机混合单调算子 随机解 正规锥 |
The Existence Uniqueness of Random Solutions of Some Random Operator Equations |
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| XUE Ling-xia.The Existence Uniqueness of Random Solutions of Some Random Operator Equations[J].College Mathematics,2011,27(4):71-74. |
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| Authors: | XUE Ling-xia |
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| Institution: | XUE Ling-xia(Zhengzhou Tourism College,Zhengzhou 450009,China) |
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| Abstract: | By using Mann iterative technique,the existence and uniqueness of random solutions of some random operator equations A（ω,x（ω）,x（ω））=B（ω,x（ω）） is studied,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 random mixed monotone operator random solutions nomal cone |
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