一类凹减算子的不动点定理及其应用  

A Fixed Point Theorem for Concave and Decreasing Operators and Its Application

作　　者：张铁荟[1] 

机构地区：[1]济宁学院初等教育学院,山东曲阜273100

出　　处：《首都师范大学学报（自然科学版）》2014年第2期7-11,共5页Journal of Capital Normal University：Natural Science Edition

摘　　要：研究了序Banach空间中一类不带连续性和紧性凹减算子不动点的存在唯一性,并将其应用到二阶微分方程的两点边值问题上.In this paper,we discuss the existence and unique fixed point theorem for a class of concave and decreasing operators in Banach space without continuity or compactness. Furthermore,we apply this theorem to the two-point boundary value problem for a kind of second-order differential equations.

关 键 词：凹算子 迭代方法 不动点 两点边值问题. 

分 类 号：O175[理学—数学]