Topology of soft cone metric spaces


Altintas I., Simsek D., TAŞKÖPRÜ K.

International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017, Astana, Kazakhstan, 2 - 05 October 2017, vol.1880 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1880
  • Doi Number: 10.1063/1.5000605
  • City: Astana
  • Country: Kazakhstan
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

© 2017 Author(s).In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.