In this article, the concept of sequential -metric spaces has been introduced as a generalization of usual metric spaces, -metric spaces, -metric spaces, and mainly -metric spaces. Some topological properties of such spaces have been discussed here. By considering this notion, we prove fixed-point theorems for some classes of contractive mappings over such spaces. Examples have been given in order to examine the validity of the underlying space and in support of our fixed-point theorems. Moreover, our fixed-point theorem is applied to obtain solution of a system of linear algebraic equations.

中文翻译：

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广义度量空间上的一些不动点定理

在这篇文章中，连续的概念-度量空间已经出台像往常一样度量空间，的推广-度量空间，-度量空间，主要-度量空间。此类空间的某些拓扑特性已在此处讨论。通过考虑这一概念，我们证明了此类空间上某些类型的压缩映射的不动点定理。给出了一些示例，以检查基础空间的有效性并支持我们的定点定理。此外，我们的定点定理被用于获得线性代数方程组的解。