In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of -metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature.

中文翻译：

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弱收缩映射的一些公共不动点结果及其应用

在本文中，我们引入了一类新的广义弱压缩映像，并通过使用涉及该新类映射关系的框架不同的算法，证明公共不动点的结果-度量空间，推广卓的结果。我们还提供了两个示例来说明我们的结果的适用性和有效性。作为我们结果的应用，我们获得了积分方程的解。我们的结果扩展并改进了现有文献中的一些可比结果。