Fixed point theorems of contractive mappings in cone b-metric spaces and applications

被引：49
|
作者：
Huang, Huaping [1 ]
Xu, Shaoyuan [2 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China
[2] Gannan Normal Univ, Sch Math & Comp, Ganzhou 341000, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
cone b-metric space; fixed point; periodic boundary problem;
D O I：
10.1186/1687-1812-2013-112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present some new examples in cone b-metric spaces and prove some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric spaces. The results not only directly improve and generalize some fixed point results in metric spaces and b-metric spaces, but also expand and complement some previous results in cone metric spaces. In addition, we use our results to obtain the existence and uniqueness of a solution for an ordinary differential equation with a periodic boundary condition.
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收藏
页数：10
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