摘要：Ordered pairs form of a metric space (S, d) where d is the metric on a nonempty Set S. Concept ofpartial metric space is a minimal generalization of a metric space where each xεS, d(x, x) does not need to be zeroin other terms is known as non-self distance. Axiom obtained from the generalization is followingproperties p(x, x)≤p(x, y) for every x, yεS. The results of this study are few studies in the form of definitions andtheorems concerning continuity function and Lipschitz function of partial metric space. This study alsoincludes a study connection between Lipschitz functions and uniformly continuous functions on partial metricspace.
