In the present paper, we introduce the notion of Proinov--contraction mapping and we discuss it within the most interesting abstract structure, namely, -metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.

中文翻译：

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Proinov的讨论---度量空间上的收缩映射

在本论文中，我们介绍了Proinov--收缩映射的概念，并在最有趣的抽象结构（即-度量空间）中对其进行了讨论。我们进一步考虑了保证此类映射不动点的存在性和唯一性的必要条件，并通过提供示例说明了主要结果的有效性。