In this paper, the notion of sequential -metric spaces has been introduced as a generalization of usual -metric spaces, -metric spaces, metric spaces, and specially of -metric spaces. In view of this notion, we prove some fixed point theorems for some classes of -rational Geraghty JS-contractions over such spaces. A supporting example and an application have been given in order to examine the validity of the obtained results.

中文翻译：

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序贯扩展度量空间和相关不动点结果在非线性积分方程中的应用

在本文中，序列-度量空间的概念被引入作为通常-度量空间、-度量空间、度量空间，特别是-度量空间的推广。鉴于这个概念，我们证明了某些类别的不动点定理-在这些空间上的有理 Geraghty JS 收缩。为了检验所得结果的有效性，给出了一个支持例子和一个应用。