Soft partial metric spaces

Altıntaş İ., TAŞKÖPRÜ K., Esengul kyzy P.

Soft Computing, cilt.26, sa.18, ss.8997-9010, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 18
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s00500-022-07313-3
  • Dergi Adı: Soft Computing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.8997-9010
  • Anahtar Kelimeler: Banach theorem, Soft element, Soft partial metric, Soft quasi-metric, Soft set
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.This paper is an introduction to soft partial metric spaces. The aim is to create a soft topological model for a programming language described as a soft logic system, like in classical partial metric studies. Since the soft metric spaces have Hausdorff properties, they are not useful in examining non-Hausdorff soft topologies. This paper proposes a generalized soft metric for non-Hausdorff soft topologies and a new approach that guides how to expand soft metric implements like the Banach theorem to such topologies.