In this paper, we firstly introduce a new notion of inverse class functions which extends the notion of inverse class functions introduced by Saleem et al., 2018. Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type , weak semicompatibility, and conditional semicompatibility in metric spaces. Moreover, we introduce a new kind of compatibility called compatibility which is weaker than property and also present a common fixed point theorem in metric spaces via inverse class functions. Some examples are provided to support our results.

中文翻译：

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度量空间中通过逆类函数的公共不动点定理

在本文中，我们首先介绍了逆类函数的新概念，它扩展了Saleem等人在2018年提出的逆类函数的概念。其次，在某些兼容条件下（如弱半兼容类型）提出了一些常见的不动点定理，度量空间中的弱半兼容性和条件半兼容性。此外，我们引入了一种新的兼容性，称为兼容性，它比性质，并且通过逆类函数在度量空间中给出一个公共的不动点定理。提供了一些示例来支持我们的结果。