带有Banach代数的非正规锥度量空间中拟压缩映射的不动点定理(英文)  

Fixed Point Theorems of Quasi-contractions on Non-normal Cone Metric Spaces with Banach Algebras

作　　者：黄华平[1] 许绍元[2] 刘浩[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002 [2]韩山师范学院数学与统计系,广东潮州521041

出　　处：《应用数学》2015年第1期110-114,共5页Mathematica Applicata

基　　金：Supported by the Doctoral Initial Foundation of Hanshan Normal University,China(QD20110920)

摘　　要：该文在不考虑锥的正规性假设的前提条件下,得到带有Banach代数的锥度量空间中关于拟压缩映射的不动点定理,其结果大大地推广了先前的一些工作.并且还通过举例阐明其应用.In this paper,we obtain some fixed point theorems for quasi-contractive mappings in the setting of cone metric spaces with Banach algebras by omitting the assumptions of normalities of cones. Our results greatly generalize some work in the literature. Moreover, we give an example to illustrate the applications.

关 键 词：拟压缩 非正规锥 带有Banach代数的锥度量空间 

分 类 号：O177.91[理学—数学]