南京大学学报（自然科学版）Issue(1)：9-13,5.DOI:10.13232/j.cnki.jnju.2014.01.002
Banach不动点定理的一个推广
An extension of Banach fixed point theorem
摘要
Abstract
The Banach fixed point theorem(Banach’s principle of contraction mapping)is one of the most important theorems in functional analysis.The study of the theorem is quite valuable not only for the pure research but also for the application.In this paper,by analyzing the mathematical essence of the theorem,we extend its contraction condition appropriately.Hence,an extension of the Banach fixed point theorem is proposed and rigorously proved. The scope of the application for the theorem is expanded.The proposed theorem can be used to solve some problems while the Banach fixed point theorem cannot,and then the application of the proposed theorem is given for the powerful evidence.关键词
压缩映照/Banach不动点定理/迭代Key words
contraction mapping/Banach fixed point theorem/iteration引用本文复制引用
江正华..Banach不动点定理的一个推广[J].南京大学学报（自然科学版）,2014,(1):9-13,5.基金项目
江苏省优势学科(南京大学数学学科)项目(14412001) （南京大学数学学科）
