In this study, we introduce new concepts of -contraction and -contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.

中文翻译：

---

涉及控制函数的近端模糊收缩的全局最优解

在这项研究中，我们引入了-收缩和-收缩的新概念，并讨论了完全模糊度量空间结构中涉及控制函数的此类非自映射类型的最佳邻近点的存在结果。我们的结果扩展、概括、丰富和改进了当前文献中的各种现有结果。