半序概率度量空间中φ-μ-混合单调算子方程组的解(英文)  

Solutions for Some Systems of φ-μ-mixed Monotone Operator Equations in Partially Ordered Probabilistic Metric Spaces

作　　者：朱传喜[1] 罗雷[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用数学》2012年第1期47-53,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10761007,11071108);the Provincial Natural Science Foundation of Jiangxi(2007GZS2051)

摘　　要：在半序概率度量空间中,引入φ-μ-混合单调算子的概念.同时,构建一些新的条件,并采用半序技巧和分布函数的性质获得了φ-μ-混合单调算子方程组的解.The concept of φ-μ-mixed monotone operator in a partially ordered set is introduced.Meanwhile,we construct some new conditions,and obtain the solutions for the system of φ-μ-mixed monotone operator equations by virtue of the partial ordering and the properties of distribution function in partially ordered probabilistic metric spaces.

关 键 词：φ-μ-混合单调算子 MengerPM-空间 半序集 分布函数 

分 类 号：O211.5[理学—概率论与数理统计]