| 随机反向混合单调算子的不动点定理 |
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| 引用本文： | 宋娜娜,崔艳兰,杨鹏. 随机反向混合单调算子的不动点定理[J]. 延安大学学报(自然科学版), 2011, 30(3): 15-18 |
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| 作者姓名： | 宋娜娜 崔艳兰 杨鹏 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 摘 要： | 利用Mann迭代技巧和锥理论,讨论了随机反向混合单调算子的随机不动点存在唯一性,且讨论了非随机反向混合单调算子的情况,并给出了迭代序列收敛于解的误差估计式。所得结果推广了某些已知结论。
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| 关 键 词： | Mann迭代 随机反向混合单调算子 随机不动点 |
Coupling Fixed Point Theorems of Random Anti-mixed Monotone Operators |
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| SONG Na-na,CUI Yan-lan,YANG PENG. Coupling Fixed Point Theorems of Random Anti-mixed Monotone Operators[J]. Journal of Yan'an University(Natural Science Edition), 2011, 30(3): 15-18 |
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| Authors: | SONG Na-na CUI Yan-lan YANG PENG |
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| Affiliation: | SONG Na-na,CUI Yan-lan,YANG PENG (College of Mathematics and Computer Science,Yan an University,Yan an 716000,China) |
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| Abstract: | By using the Mann iterative technique and the cone theory,the existence and uniqueness of random fixed point of random anti-mixed monotone operator were studied.The case if the random operator was not anti-mixed monotone was also discussed.And the iteration sequences which converge to solution of operator equations and the error estimates were also given.The results improved and generalized some known results. |
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| Keywords: | Mann iterative random anti-mixed monotone operators random fixed point |
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