具有Banach代数的锥D-度量空间和公共不动点定理  

Cone D-metric spaces over Banach algebras and common ?xed point theorems

作　　者：张学智 薛西锋 Zhang Xuezhi;Xue Xifeng(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2019年第1期82-90,共9页Pure and Applied Mathematics

基　　金：陕西省自然科学基金(2012JM1017)

摘　　要：为了拓展不动点理论,本文提出具有Banach代数的锥D-度量空间的定义,然后在删去锥的正规性的条件下,通过构造迭代序列,研究此空间中相容映象的公共不动点的存在性和唯一性问题,得到两个新的公共不动点定理,其结果改善和推广了现有文献中的一些主要结论.In order to expand fixed point theory, the concept of cone D-metric spaces over Banach algebras is put forward in this manuscript, then by establishing iterative sequence, the existence and uniqueness of common fixed point of compatible mappings are studied on cone D-metric over Banach algebras without the normality of cone, two new common fixed point theorems are proved, which improve and extend the corresponding results of some existing references.

关 键 词：具有Banach代数的锥D-度量空间 弱相容映象 公共不动点 谱半径 

分 类 号：O177.91[理学—数学]