THE EQUIVALENCE OF CONE METRIC SPACES AND METRIC SPACES

被引：0

作者：

Feng, Yuqiang ^{[1
]}

Mao, Wei ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China

来源：

FIXED POINT THEORY | 2010年 / 11卷 / 02期

关键词：

Cone metric space; metric; contractive mapping; FIXED-POINT THEOREMS; CONTRACTIVE MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we introduce a metric on the cone metric space and then prove that a complete cone metric space is always a complete metric space and verify that a contractive mapping on the cone metric space is a contractive mapping on the metric space. Hence, fixed point theorems on cone metric space are, essentially, fixed point theorems on metric space.

引用

页码：259 / 263

页数：5

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