%0 Journal Article
%T BANACH CONTRACTION PRINCIPLE AND COMPLETENESS<br>Banach压缩映象原理与空间完备性
%A Xiang Shuwen
%A <br>向叔文
%J 系统科学与数学
%D 1997
%I 
%X In this paper, we study a further relation between the Banach contraction principle and the completeness of spaces. We prove that for a metric space with uniformly local connectedness the Banach contraction principle is equivalent to the completeness.
%K Contraction principle
%K completeness
%K uniformly local connectedness
%K metric space<br>压缩映象原理
%K 完备性
%K 一致局部连通
%K 距离空间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=A404FB80EE6E662D38186F43D8764F0E&yid=5370399DC954B911&vid=BCA2697F357F2001&iid=E158A972A605785F&sid=F416A9924F23B020&eid=85002451B65CE0D1&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0