半序空间混合单调算子的耦合不动点定理及其应用  

The Coupled Fixed Point Theorems of Mixed Monotone Operators in Partly Ordered Space and Their Applications

作　　者：王金明[1] 郑雄军[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2014年第3期240-243,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金(20122BAB201008);江西省教育厅科技课题(GJJ08169)资助项目

摘　　要：在半序空间X×X中证明了具A=CB形式的混合单调算子的耦合不动点定理和最小最大耦合不动点定理.最后将该定理应用于讨论含有不连续项的混合单调Volterra型积分方程耦合拟解的存在性.Assuming X x X is partly ordered space,some coupled fixed point theorems and coupled minimal-maximal fixed points of mixed monotone operators which are expressed as the form A=CB are obtained. As an application, the existence of coupled quasi-solutions for mixed monotone Volterra integral equations with discontinuous terms is discussed.

关 键 词：混合单调算子 半序拓扑空间 耦合不动点 VOLTERRA积分方程 

分 类 号：O177.91[理学—数学]