锥b-度量空间中关于扩张映射的一些不动点定理(英文)  

Some New Theorems of Expanding Mappings in Cone b-metric Spaces

作　　者：江秉华[1] 胡长松[1] 蔡择林[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《应用数学》2015年第2期404-413,共10页Mathematica Applicata

摘　　要：本文证明锥b-度量空间中关于扩张映射的一些不动点定理,没有考虑映射的连续性和锥的正规性.其结果不仅推广了锥度量空间,度量空间和b-度量空间中的相关结果,而且也延拓和补充了先前的一些结果.此外,我们给出几个例子验证了其结论.In this paper,we obtain some fixed point theorems of expanding mappings in cone b-met- ric spaces. The mappings need not be continuous and the cone is not normal. The results not only di- rectly improve and generalize some fixed point results in cone metric spaces, metric spaces and b- metric spaces, but also expand and complement some previous results. Moreover, some examples are given to support our new results.

关 键 词：锥b-度量空间 扩张映射 公共不动点 

分 类 号：O177.91[理学—数学]