Abstract
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.
Highlights
1 Introduction Huang et al [1] introduced the concept of cone metric spaces by using an ordered Banach space instead of a real number set and proved some fixed point results under cone contraction conditions
After the publication of this article, a number of researchers contributed their ideas to the problems on cone metric spaces by using different contractive type mappings and spaces
Kiany et al [19] proved some fixed point results for set-valued mappings and an endpoint theorem in FM-spaces by using contraction conditions
Summary
Huang et al [1] introduced the concept of cone metric spaces by using an ordered Banach space instead of a real number set and proved some fixed point results under cone contraction conditions. Kiany et al [19] proved some fixed point results for set-valued mappings and an endpoint theorem in FM-spaces by using contraction conditions.
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