赋值Banach代数的锥b-度量空间中的公共不动点定理

Common fixed point theorems in cone metric spaces over Banach algebras

在赋值Banach代数的锥b-度量空间中,研究了单值扩张映射的公共不动点定理.得到了公共不动点的存在性和唯一性,结果推广了文献中锥b-度量空间、锥度量空间以及b-度量空间等的相关重要结果.

In this paper,we study some common fixed point theorems about single-valued expanding mappings in cone metric spaces over Banach algebras.We obtain the existence and the uniqueness of the fixed point.The results generalize some well-known comparable results in cone metric spaces,cone metric spaces and metric spaces.