带有F-g-不变集φ-压缩的耦合随机不动点定理  

Coupled Random Fixed Point Theorems for φ-Contractions Under F-g-Invariant Set

作　　者：曹小双 柴国庆[1] 

机构地区：[1]湖北师范学院数学与统计学院,黄石435002

出　　处：《应用泛函分析学报》2015年第3期220-228,共9页Acta Analysis Functionalis Applicata

基　　金：湖北省教育厅重点科研项目(D20132502)

摘　　要：在偏序度量空间中,获得了一些耦合随机不动点定理,引入F-g-不变集新定义,减弱了F的混合g-单调性,所得结果也是近期文献相关结果的推广.The aim of this article is to obtain some coupled random fixed point results by applying the new concept called F-g-invariant set to weaken the mixed g-monotone property of F in partially ordered metric spaces. The main results obtained in this paper extend the corresponding results in recent literature.

关 键 词：混合g-单调性 F-g-不变集 耦合随机不动点 

分 类 号：O177.91[理学—数学]