This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous studies in this line. Moreover, some corollaries and suitable examples are presented to demonstrate the novelty of the results established. Ultimately, two applications are given here to boost our theoretical consequences, the first one about the contributions of the integral type to obtain a triple coincidence points and the other application is about solving a system of nonlinear integral equations.

中文翻译：

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解POCML空间中非线性积分方程组的三重符合点技术

该手稿旨在通过部分有序完整度量式空间（简称POCML空间）中的C型函数的概念，引发一些有关非自我映射的三重符合点的最新理论结果。我们的贡献统一并扩展了该领域以前的一些研究。此外，提供了一些推论和合适的例子来证明所建立结果的新颖性。最终，这里给出了两个应用程序来增强我们的理论结果，第一个应用程序是关于积分类型的贡献以获得三重巧合点，另一个应用程序是关于求解非线性积分方程组。