In this manuscript, we establish a coincidence point and a unique common fixed point theorem for $(\psi ,\varphi )$ -weak cyclic compatible contractions. We also present a fixed point theorem for a class of Λ-weak cyclic compatible contractions via altering distance functions. Our results extend and improve some well-known results in the literature. We provide examples to analyze and illustrate our main results.

中文翻译：

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一类广义弱循环相容收缩的不动点定理

在此手稿中，我们为弱循环兼容收缩$（\ psi，\ varphi）$建立一个重合点和唯一的公共不动点定理。我们还通过改变距离函数为一类弱循环相容收缩提出了一个不动点定理。我们的结果扩展并改进了文献中的一些知名结果。我们提供示例来分析和说明我们的主要结果。