In this work, we extend and complement some results in view of general and wider structures, such as metric spaces. By considering existing classes of contractions and simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as simulation functions, and also types of contractions in a more general framework. This approach covers, extends, and unifies several published works in the early and late literature.

中文翻译：

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通过通用模拟函数方法进行不动点相关定理

在这项工作中，我们针对一般和较宽的结构（例如度量空间）扩展和补充了一些结果。通过考虑现有的收缩类和对定点理论的数据库结果产生重大影响的模拟函数，我们引入了一种新的通用模拟函数类，称为模拟函数，并且在更通用的框架中引入了收缩类型。这种方法涵盖，扩展并统一了早期和晚期文献中的几本已出版的作品。