| 半序度量空间中公共二元随机重合点定理及其应用 |
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| 引用本文： | 李娟,朱传喜.半序度量空间中公共二元随机重合点定理及其应用[J].数学学报,2016,59(3):343-356. |
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| 作者姓名： | 李娟 朱传喜 |
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| 作者单位： | 南昌大学数学系 南昌 330031 |
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| 基金项目： | 国家自然科学基金资助项目(11361042, 11071108);江西省自然科学基金项目(20132BAB201001,2010GZS0147); 赣鄱英才"555工程"领军人才项目 |
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| 摘 要： | 在完备可分的半序度量空间中,引入了随机映射对(F,G)关于g随机半序弱增以及(F,G)随机半序弱增的定义,研究了在满足一定非线性压缩条件下的随机映射列F_k:Ω×X×X→X,k=1,2…,g:Ω×X→X和h:Ω×X→X的公共二元随机重合点与公共二元随机不动点问题,所得结果推广了已有文献中的一些不动点定理.
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| 关 键 词： | 公共二元随机重合点 公共二元随机不动点 半序集 随机半序弱增 |
Common Coupled Random Coincidence Point Theorems in Partially Ordered Metric Spaces and Its Application |
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| Juan LI,Chuan Xi ZHU.Common Coupled Random Coincidence Point Theorems in Partially Ordered Metric Spaces and Its Application[J].Acta Mathematica Sinica,2016,59(3):343-356. |
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| Authors: | Juan LI Chuan Xi ZHU |
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| Institution: | Institute of Mathematics, Nanchang University, Nanchang 330031, P. R. China |
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| Abstract: | The definitions of partially weakly increasing property of a pair of random mappings (F,G) with respect to g and partially weakly increasing property of (F,G) are introduced and the existence of common coupled random coincidence points and common coupled random fixed points for a sequence of mappings Fk:Ω×X×X→X,k=1,2,...and g:Ω×X→X and h:Ω×X→X under various contractive conditions in complete and separable partially ordered metric spaces are studied.Many new results are obtained,which generalize some results in the corresponding literatures. |
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| Keywords: | common coupled random coincidence point common coupled random fixed point partially ordered set partially weakly increasing property |
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