Recently, a notion of -hybrid contraction for single-valued mappings in the framework of -metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one of our obtained results is applied to analyze some solvability conditions of Fredholm-type integral inclusions. Nontrivial examples are also provided to support the assertions of our theorems.

中文翻译：

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多值混合收缩及其应用

近日，一个概念-混合收缩在框架单值映射-介绍了一种统一和完善相应的文学几个显著现有的成果度量空间。本文提出了这种收缩的多值概括。此外，我们获得的结果之一被用于分析Fredholm型积分夹杂物的某些可溶性条件。还提供了一些非平凡的例子来支持我们的定理。