Convexity and hyperconvexity in fuzzy metric space

EFE H., YİĞİT DAKMAZ E.

Journal of Computational Analysis and Applications, vol.27, no.1, pp.50-58, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2019
  • Journal Name: Journal of Computational Analysis and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.50-58
  • Keywords: Convexity, Fuzzy metric space, Hyperconvexity
  • Gazi University Affiliated: Yes

Abstract

© 2019 EUDOXUS PRESS, LLC.In this paper, firstly we give the definion of fuzzy convex metric, in a different way. Then we introduce the concept of hyperconvexity in fuzzy metric space and prove that every fuzzy hyperconvex metric space is complete. Also it is proved that for m-seperable fuzzy metric spaces, fuzzy m-hyperconvexity is equivalent to fuzzy hyperconvexity.