PZ(S)P_{Z}(S)-Metrics and PZ(S)P_{Z}(S)-Metric Spaces

preprint2015arXivOpen access

Abstract

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

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