This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

中文翻译：

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一些集合值和多值收缩导致模糊锥度量空间

本文旨在提出模糊锥度量空间中多值映射的概念，并证明一些基本引理、Hausdorff 度量和定值模糊锥收缩和多值模糊锥收缩映射的不动点结果。我们证明了模糊锥度量空间中多值有理型模糊锥收缩的不动点定理。我们的结果扩展并改进了文献中给出的一些结果。