Separated ▵⁺-valued equivalences as probabilistic partial metric spaces

Article type: Research Article

Authors: Yue, Yueli^*

Affiliations: School of Mathematical Sciences, Ocean University of China, Qingdao, P.R. China

Correspondence: [*] Correspondence to: Yueli Yue, School of MathematicalSciences, Ocean University of China, Qingdao, 266100, P.R. China. Tel.: +8615615323483; E-mail: [email protected].

Abstract: This paper attempts to show that separated ▵+-valued equivalences can be viewed as probabilistic partial metric spaces. Some properties of probabilistic partial metric spaces are studied and three kinds of fixed point theorems in probabilistic partial metric spaces are given.

Keywords: Partial metric, L-valued set, probabilistic metric, probabilistic partial metric, fixed point theorem

DOI: 10.3233/IFS-151549

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 6, pp. 2715-2724, 2015