Fixed point theorems of contractive mappings in cone b-metric spaces and applications
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- 作者：Huaping Huang (1)
Shaoyuan Xu (2) - 关键词：cone b ; metric space ; fixed point ; periodic boundary problem
- 刊名：Fixed Point Theory and Applications
- 出版年：2013
- 出版时间：December 2013
- 年：2013
- 卷：2013
- 期：1
- 全文大小：188KB
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Shaoyuan Xu (2)
1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
2. School of Mathematics and Computer, Gannan Normal University, Ganzhou, 341000, China - ISSN：1687-1812
文摘
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.