P_Z(S)-Metrics and P_Z(S)-Metric Spaces

2015/12/29 by Reza Jafarpour-Golzari, Jafarpour-Golzari, Reza
Mathematics · #Fixed Point Theorems Analysis #math.GN #msc:11J83 #msc:46A19

paper · pdf · doi:10.48550/arxiv.1512.08760

6 pages

arxiv created 2015/12/29 · arxiv updated 2015/12/31

Abstract

In this paper, we define notions of P_Z(S)-metric and P_Z(S)-metric space and we show that every P_Z(S)-metric Space, analogous to an ordinary metric space and generally, a Λ-metric space, is a topological space, and in continuance, we show that from a topological point of view, some properties of P_Z(S)-metric spaces, and Λ-metric spaces, have coordination.

Related

• On a new generalization of metric spaces
• On the topological equivalence of S-metric and cone S-metric spaces
• On the Hyperbolizing metric spaces
• Topological developments of F-metric spaces
• Metric 1-spaces