半序概率度量空间中增算子的不动点定理  

Fixed point theorems of increasing operators in partially ordered probabilistic metric spaces

作　　者：朱奋秀[1] ZHU Fen-Xiu(School of Law ＆ Business, Hubei University of Economics, Wuhan 430205, P. R. C)

机构地区：[1]湖北经济学院法商学院,湖北武汉430205

出　　处：《西南民族大学学报（自然科学版）》2016年第5期563-566,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：湖北经济学院法商学院科研资助项目(2016K12)

摘　　要：不动点理论是非线性泛函分析的重要组成部分,对非线性微分积分方程的研究有重要意义.半序方法是研究非线性算子方程问题的主要方法之一,在概率度量空间中通过泛函引入半序,并利用此半序研究概率度量空间中增算子的不动点的存在性问题,得到一些不动点存在性定理.Fixed point theory is an indispensable part of nonlinear functional analysis and is of great significance in the research of differential and integral equations. Partially ordered method is one of the main methods in studying nonlinear problems. In this paper, a partial order is introduced by a function in Probabilistic Metric Spaces. Some existence problems of increasing operators are researched and some fixed point theorenms of increasing operators are gained in partially Ordered Probabilistic Metric Spaces by the partial order.

关 键 词：半序概率度量空间 不动点 增算子 

分 类 号：O177.91[理学—数学]