$P_{Z}(S)$-Metrics and $P_{Z}(S)$-Metric Spaces
Reza Jafarpour-Golzari

TL;DR
This paper introduces $P_{Z}(S)$-metric spaces, demonstrating their topological properties and similarities to traditional metric spaces, thereby expanding the understanding of generalized metric structures.
Contribution
The paper defines $P_{Z}(S)$-metric spaces and explores their topological properties, establishing parallels with ordinary and $ ext{Lambda}$-metric spaces.
Findings
$P_{Z}(S)$-metric spaces are topological spaces.
Properties of $P_{Z}(S)$-metric spaces coordinate with those of $ ext{Lambda}$-metric spaces.
The study extends metric space theory to a broader class of spaces.
Abstract
In this paper, we define notions of -metric and -metric space and we show that every -metric Space, analogous to an ordinary metric space and generally, a -metric space, is a topological space, and in continuance, we show that from a topological point of view, some properties of -metric spaces, and -metric spaces, have coordination.
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Taxonomy
TopicsFixed Point Theorems Analysis
