半序集上集值算子的混合单调性及其不动点定理  

Mixed Monotonicity and Coupled Fixed Points Theorems of Set-valued Operators in Semiordered Set

作　　者：左秀会 

机构地区：[1]商丘师院数学系,河南商丘476000

出　　处：《西南民族学院学报（自然科学版）》2001年第1期27-30,共4页Journal of Southwest Nationalities College(Natural Science Edition)

摘　　要：给出了半序集上集值算子的几种混合单调性定义 ,讨论了它们之间的关系 .然后利用半序集上全序集的一些性质 ,证明了混合单调集值算子的耦合不动点定理和极小极大耦合不动点定理 .In this paper,some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.And using some properties of the total-ordered subset in semiordered set,the coupled fixed points theorems and minimax coupled fixed points theorems for mixed monotone set-valued operators are proved.

关 键 词：半序集 集值算子 混合单调性 耦合不动点定理 极小极大耦合不动点定理 全序集 

分 类 号：O177.91[理学—数学]