The aim of this paper is to obtain some new important consequences related to coupled coincidence points via C-class functions in the context of a regular partial ordered complete b -metric-like space (for short, RPOCbML space); this space arises from combining the results of b -metric-like space with partial metric space and adding the regularity condition. Finally, we support our theoretical results by some examples and an application about finding an analytical solution for nonlinear integral equations.

中文翻译：

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耦合重合点技术及其在求解RPOCbML空间非线性积分方程中的应用

本文的目的是在规则的偏序完全类 b 度量空间（简称 RPOCbML 空间）的上下文中，通过 C 类函数获得与耦合重合点相关的一些新的重要结果；该空间来自于将类 b 度量空间与部分度量空间的结果相结合并添加正则性条件。最后，我们通过一些例子和一个关于寻找非线性积分方程解析解的应用来支持我们的理论结果。