In this manuscript, a class of generalized -weak contraction is introduced and some fixed point theorems in the framework of -metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.

中文翻译：

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-度量空间中广义弱收缩的不动点

在这份手稿中，一类广义 -弱收缩介绍和框架的一些不动点定理-度量空间被证实。本文提出的结果概括了现有文献中的一些早期结果。此外，还提供了一些示例和应用程序来说明我们的主要结果。