中文摘要：

以Banach代数取代Banach空间作为锥度量空间的底空间,引入具有Banach代数的锥度量空间,在正规性条件下已经得到了关于拟压缩映射的不动点定理。删去正规性条件,利用c-序列理论同样得到了拟压缩映射的不动点存在唯一性,主要结果改进和推广了相关文献的一些结论。

英文摘要：

By replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces,the concept of cone metric spaces with Banach algebras has been introduced. And a fixed point theorem of quasi-contractions with the assumption of normality has been proved. By omitting the assumption of normality and utilizing the theory of c-sequence,the existence and uniqueness of the fixed point for the quasi-contractions is obtained in the setting of cone metric spaces with Banach algebras. As a consequence,the corresponding result in the literature is improved and generalized.