Soft partial metric spaces

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

Soft Computing, vol.26, no.18, pp.8997-9010, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 18
  • Publication Date: 2022
  • Doi Number: 10.1007/s00500-022-07313-3
  • Journal Name: Soft Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.8997-9010
  • Keywords: Banach theorem, Soft element, Soft partial metric, Soft quasi-metric, Soft set
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 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.