半序度量空间中单调映射的不动点定理及应用  

Fixed Point Theorems of Monotone Mapping in Ordered Metric Space and Its Applications

作　　者：陈少春[1] 骆桦[2] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]浙江理工大学数学系,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2009年第4期647-651,共5页Journal of Zhejiang Sci-Tech University(Natural Sciences)

摘　　要：在度量空间中引入半序,并证明了半序度量空间单调映射的一个不动点定理,同时得到该定理的一些推论。接着构造了一个等度连续空间,且在该空间上将不动点定理应用到周期性微分方程中,得到了一个微分方程解存在的充分条件。A partial ordering is defined in metricspaces, and a fixed point theorem of monotone mapping is verified. At the same time, the authors get some corollarys about this theorem. After that, the theorem is applied to the periodic boundary value problem （PBVP） in the equicontinuity space which is constructed such that a sufficient condition about the existence of solution of differential equation is got.

关 键 词：半序 等度连续 单调映射 不动点 

分 类 号：O175.15[理学—数学]