摘要
给出了巴拿赫代数上锥b-距离空间的概念,利用迭代法探究了巴拿赫代数上锥b-距离空间中压缩映射不动点定理,证明了广义利普希茨映射在没有正规性的条件下,仍存在不动点并且是唯一的.
This paper introduces the concept of cone b-metric spaces with Banach algebras, by using iterative method we explore some fixed point theorems of contraction mapping in cone b-metric spaces with Banach algebra, and obtain some new fixed point theorems for the generalized Lipschitz mapping without the assumption normality.
出处
《纯粹数学与应用数学》
2015年第5期537-541,共5页
Pure and Applied Mathematics
基金
陕西省自然科学基金(2012JM1017)
