Compactness of Fuzzy Cone Metric Spaces

Fadhel S Fadhel; Amer A Abdullah

Compactness of Fuzzy Cone Metric Spaces

Authors

Fadhel S Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.
Amer A Abdullah Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

Cone Metric Spaces, Fuzzy Metric Spaces, Cone Fuzzy Metric Spaces, Compactness of Fuzzy Cone Metric Space

Abstract

Cone metric spaces may be considered as a generalization of determinist metric spaces or fuzzy metric spaces. In this paper, we will construct fuzzy cone metric space using different approaches, which is based on the definition of fuzzy points, and then study different types of compact subsets of such spaces, as well as, the relationship among them.