Convexity and hyperconvexity in fuzzy metric space

EFE H., YİĞİT DAKMAZ E.

Journal of Computational Analysis and Applications, cilt.27, sa.1, ss.50-58, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: Journal of Computational Analysis and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.50-58
  • Anahtar Kelimeler: Convexity, Fuzzy metric space, Hyperconvexity
  • Gazi Üniversitesi Adresli: Evet

Özet

© 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.