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Research Journal of Applied Sciences

ISSN: Online 1993-6079
ISSN: Print 1815-932x
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Operation Continuous Function and Lipschitz Function on Partial Metric Space

Mohammad Soleh, Corry Corazon Marzuki, Hafiz Mahmud, Fitri Aryani, Rado Yendra and Ahmad Fudholi
Page: 299-305 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

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


How to cite this article:

Mohammad Soleh, Corry Corazon Marzuki, Hafiz Mahmud, Fitri Aryani, Rado Yendra and Ahmad Fudholi. Operation Continuous Function and Lipschitz Function on Partial Metric Space.
DOI: https://doi.org/10.36478/rjasci.2018.299.305
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2018.299.305