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

作　　者：李娟[1] 朱传喜[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《数学学报（中文版）》2016年第3期343-356,共14页Acta Mathematica Sinica：Chinese Series

基　　金：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

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.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.

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 

分 类 号：O177.91[理学—数学] O211.5[理学—基础数学]