In this paper, the concept of sequential -metric spaces has been introduced as a generalization of usual metric spaces, -metric spaces and specially of -metric spaces. Several topological properties of such spaces have been discussed here. In view of this notion, we prove fixed point theorems for some classes of contractive mappings over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in respect to our proven fixed point theorems.

中文翻译：

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扩展的度量类型空间及相关的不动点定理在非线性积分方程中的应用

在本文中，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-度量空间和特别的-度量空间。在此讨论了此类空间的几种拓扑特性。根据这个概念，我们证明了这类空间上某些类型的压缩映射的不动点定理。为了检验下层空间的有效性以及关于我们已证明的不动点定理，已经给出了支持性的例子。