Continuity function on partial metric space

Fitri Aryani, Hafiz Mahmud, Corry Corazon Marzuki, Mohammad Soleh, Rado Yendra, Ahmad Fudholi

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 x∈S,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,y∈S. The results of this paper are few studies in the form of definitions and theorems concerning continuity function on partial metric space.

Original languageEnglish
Pages (from-to)271-276
Number of pages6
JournalJournal of Mathematics and Statistics
Volume12
Issue number4
DOIs
Publication statusPublished - 2016

Fingerprint

Metric space
Partial
Ordered pair
Axiom
Metric
Zero
Term
Theorem
Generalization
Form

Keywords

  • Lipschitz function
  • Metric space
  • Partial metric space
  • Uniformly continuous

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)

Cite this

Continuity function on partial metric space. / Aryani, Fitri; Mahmud, Hafiz; Marzuki, Corry Corazon; Soleh, Mohammad; Yendra, Rado; Fudholi, Ahmad.

In: Journal of Mathematics and Statistics, Vol. 12, No. 4, 2016, p. 271-276.

Research output: Contribution to journalArticle

Aryani, F, Mahmud, H, Marzuki, CC, Soleh, M, Yendra, R & Fudholi, A 2016, 'Continuity function on partial metric space', Journal of Mathematics and Statistics, vol. 12, no. 4, pp. 271-276. https://doi.org/10.3844/jmssp.2016.271.276
Aryani, Fitri ; Mahmud, Hafiz ; Marzuki, Corry Corazon ; Soleh, Mohammad ; Yendra, Rado ; Fudholi, Ahmad. / Continuity function on partial metric space. In: Journal of Mathematics and Statistics. 2016 ; Vol. 12, No. 4. pp. 271-276.
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