| 一类随机算子随机不动点的迭代序列收敛性 |
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| 引用本文： | 赵巧玲,王锋.一类随机算子随机不动点的迭代序列收敛性[J].大学数学,2011,27(3):83-86. |
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| 作者姓名： | 赵巧玲 王锋 |
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| 作者单位： | 1. 商丘师范学院,数学系,河南,商丘,476000
2. 安阳工学院,数理学院,河南,安阳,455000 |
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| 基金项目： | 河南省教育厅自然科学研究项目(2010B110019) |
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| 摘 要： | 利用非对称迭代技巧,讨论了一类不具有紧性条件的随机算子的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本质改进和推广.
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| 关 键 词： | 随机增算子 随机不动点 正规锥 |
The Convergence of Iteration Sequences of Random Fixed Point of Random Operator |
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| ZHAOQiao-ling,WANG Feng.The Convergence of Iteration Sequences of Random Fixed Point of Random Operator[J].College Mathematics,2011,27(3):83-86. |
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| Authors: | ZHAOQiao-ling WANG Feng |
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| Institution: | ZHAO Qiao-ling1,WANG Feng2(1.Department of Mathematics,Shangqiu Teachers College,Shangqiu,Henan 476000,China,2.Department of Mathematics,Anyang Institute of Technology,Anyang,Henan,455000,China) |
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| Abstract: | By using non-symmetry Mann iterative technique,the existence and uniqueness of random fixed point of a kind of random operator are studied without 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: | random increasing operator random fixed point nomal cone |
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