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

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 $\Lambda$-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 $\Lambda$-metric spaces, have coordination.

6 pages