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.
|Journal||Journal of Inequalities and Applications|
|Publication status||Published - 2021|
- Contraction conditions
- Fixed point
- Fuzzy cone metric space
- Hausdorff metric