| 随机混合单调算子的耦合不动点定理 |
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| 引用本文： | 梁瑛,吴宏锷.随机混合单调算子的耦合不动点定理[J].绵阳师范学院学报,2009,28(2). |
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| 作者姓名： | 梁瑛 吴宏锷 |
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| 作者单位： | 南阳理工学院应用数学系,河南南阳,473000 |
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| 摘 要： | 在Banaeh空间中,利用半序关系和非对称迭代法讨论了缺乏紧性的随机混合单调算子的耦合不动点的存在性以及迭代序列的收敛性问题,在已知定理的基础上获得了随机混合单调算子的耦合不动点的唯一性及相关推论,所得结果是某些已知结果改进和推广.
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| 关 键 词： | 随机混合单调算子 耦舍不动点 半序 迭代 |
Coupling Fixed Point Theorems of Random Mixed Monotone Operators |
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| LIANG Ying,WU Hong-e.Coupling Fixed Point Theorems of Random Mixed Monotone Operators[J].Journal of Mianyang Normal University,2009,28(2). |
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| Authors: | LIANG Ying WU Hong-e |
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| Institution: | Department of Applied Mathematics;Nanyang Institute of Technology;Nanyang;Henan 473004 |
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| Abstract: | By using the partially order and non-symmetry iteration method,this paper discusses the existence of coupling fixed point of random mixed monotone operators without compactness,and the astringency of iteration sequences.Based on some known theorems,this paper obtains the uniqueness of the coupling fixed point of random mixed operators and the corresponding deduction.These results improve and generalize some known results. |
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| Keywords: | random mixed monotone operator coupling fixed point partially order iteration |
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