In the present paper, we define -cone metric spaces over a Banach algebra which is a generalization of -metric space (-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.

中文翻译：

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Banach代数上的锥上度量空间和一些不动点定理

在本论文中，我们定义-在Banach代数这是一个一般化锥度量空间-度量空间（- MS）和浓度量空间（CMS）通过Banach代数。我们给出了新的定点定理，以确保广义的收缩和扩张图不连续。最后给出示例和应用程序以支持我们结果的可用性。