期刊论文详细信息
Fixexd point theory and applications | |
Fixed point theorems of contractive mappings in cone b -metric spaces and applications | |
Shaoyuan Xu1  Huaping Huang2  | |
[1] School of Mathematics and Computer, Gannan Normal University, Ganzhou, China;School of Mathematics and Statistics, Hubei Normal University, Huangshi, China | |
关键词: cone b-metric space; fixed point; periodic boundary problem; | |
DOI : 10.1186/1687-1812-2013-112 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
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【 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.
【 授权许可】
CC BY
【 预 览 】
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RO201904024590076ZK.pdf | 288KB | ![]() |