半序空间中集值混合单调算子的耦合不动点定理  

Coupled Fixed Point Theorem for the Set-valued Mixed Monotone Operators in Semi-ordered Space

作　　者：李雲婷 胡美艳 郑雄军[1] LI Yunting;HU Meiyan;ZHENG Xiongjun(College of Mathematics and Information Science,Jiangxi Normal University,330022,Nanchang,PR)

机构地区：[1]江西师范大学数学与信息科学学院,南昌330022

出　　处：《江西科学》2018年第3期396-399,449,共5页Jiangxi Science

摘　　要：研究在半序拓扑空间下,形式为A=CB的集值混合单调算子的耦合不动点以及它的最小最大耦合不动点的存在性。In this paper,we study the coupled fixed point theorem of the set-valued mixed monotone operator with the form of A = CB and the existence of its minimum maximum coupled fixed point in the semi-ordered topological space.

关 键 词：集值算子 集值混合单调算子 耦合不动点 最小最大耦合不动点 

分 类 号：O177.91[理学—数学]