摘要
引入了集值算子的几种混合单调性定义 ,讨论了各种单调性之间的关系 然后利用半序集上的全序子集的某些性质 ,给出了混合单调集值算子的耦合不动点和极小极大耦合不动点的存在性定理 .
Some definitions of the mixed monotonicity for set valued operators are introduced and the relation of monotonicities are discussed. Then using some propertis of the total ordered subset in semiordered set, the existence theorems of coupled fixed points and minimax coupled fixed points for mixed monotone set valued operators are given.
出处
《河南教育学院学报（自然科学版）》
2000年第4期1-4,共4页
Journal of Henan Institute of Education(Natural Science Edition)
关键词
半序集
混合单调集值算子
耦合不动点
semiordered set
mixed monotone set-valued operators
coupled fixed points
