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半序度量空间中公共二元随机重合点定理及其应用
Common Coupled Random Coincidence Point Theorems in Partially Ordered Metric Spaces and Its Application
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Fk: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.
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.
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 {{custom_keyword}} /
common coupled random coincidence point / common coupled random fixed point / partially ordered set / partially weakly increasing property {{custom_keyword}} /
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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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