### 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 language | English |
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Pages (from-to) | 271-276 |

Number of pages | 6 |

Journal | Journal of Mathematics and Statistics |

Volume | 12 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Statistics and Probability
- Mathematics(all)

### Cite this

*Journal of Mathematics and Statistics*,

*12*(4), 271-276. https://doi.org/10.3844/jmssp.2016.271.276

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

Research output: Contribution to journal › Article

*Journal of Mathematics and Statistics*, vol. 12, no. 4, pp. 271-276. https://doi.org/10.3844/jmssp.2016.271.276

}

TY - JOUR

T1 - Continuity function on partial metric space

AU - Aryani, Fitri

AU - Mahmud, Hafiz

AU - Marzuki, Corry Corazon

AU - Soleh, Mohammad

AU - Yendra, Rado

AU - Fudholi, Ahmad

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Lipschitz function

KW - Metric space

KW - Partial metric space

KW - Uniformly continuous

UR - http://www.scopus.com/inward/record.url?scp=85009517352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009517352&partnerID=8YFLogxK

U2 - 10.3844/jmssp.2016.271.276

DO - 10.3844/jmssp.2016.271.276

M3 - Article

AN - SCOPUS:85009517352

VL - 12

SP - 271

EP - 276

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

SN - 1549-3644

IS - 4

ER -