The Completeness of Cone Metric Spaces  

作　　者：LI Ke-dian 

机构地区：[1]Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期565-572,共8页数学季刊（英文版）

基　　金：Foundation item： Supported by tile National Natural Science Foundation of China（10971185, 10971186）; Supported by the Research Fund for Higher Education of Fujian Province（JK2011031）

摘　　要：Some topological properties of cone metric spaces are discussed and proved that every cone metric space （X, d） is complete if and only if every family of closed subsets of X which has the finite intersection property and which for every c ε E, 0 〈〈 c contains a set of diameter less that c has non-empty intersection.

关 键 词：COMPACTNESS COMPLETENESS cauchy sequence cone metric space 

分 类 号：O189.1[理学—数学]