The aim of this paper is to introduce a new class of noncommuting mappings called JH-operator pairs of type (A). We obtain the unique point of coincidence point in generalized metric spaces and the common fixed point results of such pairs of mappings in the setting of metric spaces. Some examples are also presented to support the concepts and results proved herein. We prove the existence of solution of nonlinear integral equations as an application of our result. In the end, we give any open question.

中文翻译：

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在（A）型JH-算子对上及其对积分方程的应用

本文的目的是介绍一种称为（A）类型的JH-操作符对的新型非交换映射。我们获得了广义度量空间中的重合点的唯一点，以及度量空间设置中此类映射对的公共不动点结果。还提供了一些示例来支持本文中证明的概念和结果。作为结果的应用，我们证明了非线性积分方程解的存在。最后，我们提出任何悬而未决的问题。