In this article, some fixed point results satisfying an extended multi-valued $F$-contraction mapping in the context of metric-like spaces are developed. Also, some standard examples are dressed to support our theoretical consequences. Finally, we conclude our paper with two important applications for the system of functional equations and to find a bounded solution for a class of a Fredholm type integral inclusion.

中文翻译：

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扩展多值的广义动态过程 $F$度量空间中的收缩与应用

在本文中，一些定点结果满足扩展的多值 $F$开发了类似度量空间的收缩映射。此外，一些标准示例也经过修饰以支持我们的理论结论。最后，我们以函数方程组的两个重要应用结束本文，并为一类Fredholm型积分夹杂找到有界解。