Research Article

Functional equations related to weightable quasi-metrics

Volume: 44 Number: 4 August 1, 2015
  • M.j. Campion
  • E. Indurain
  • G. Ochoa
  • O. Valero
EN

Functional equations related to weightable quasi-metrics

Abstract

Starting from the definition of a weightable quasi-metric we observe that several functional equations are induced in a natural way. Studying these equations we characterize weightable quasi-metrics and show that they define representable total preorders. We also analyze how to retrieve weightable quasi-metrics from real-valued functions satisfying suitable functional equations. 

Keywords

References

  1. .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M.j. Campion This is me

E. Indurain This is me

G. Ochoa This is me

O. Valero This is me

Publication Date

August 1, 2015

Submission Date

January 2, 2013

Acceptance Date

April 24, 2014

Published in Issue

Year 2015 Volume: 44 Number: 4

APA
Campion, M., Indurain, E., Ochoa, G., & Valero, O. (2015). Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics, 44(4), 775-787. https://izlik.org/JA62XN34GZ
AMA
1.Campion M, Indurain E, Ochoa G, Valero O. Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):775-787. https://izlik.org/JA62XN34GZ
Chicago
Campion, M.j., E. Indurain, G. Ochoa, and O. Valero. 2015. “Functional Equations Related to Weightable Quasi-Metrics”. Hacettepe Journal of Mathematics and Statistics 44 (4): 775-87. https://izlik.org/JA62XN34GZ.
EndNote
Campion M, Indurain E, Ochoa G, Valero O (August 1, 2015) Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics 44 4 775–787.
IEEE
[1]M. Campion, E. Indurain, G. Ochoa, and O. Valero, “Functional equations related to weightable quasi-metrics”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 775–787, Aug. 2015, [Online]. Available: https://izlik.org/JA62XN34GZ
ISNAD
Campion, M.j. - Indurain, E. - Ochoa, G. - Valero, O. “Functional Equations Related to Weightable Quasi-Metrics”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 775-787. https://izlik.org/JA62XN34GZ.
JAMA
1.Campion M, Indurain E, Ochoa G, Valero O. Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics. 2015;44:775–787.
MLA
Campion, M.j., et al. “Functional Equations Related to Weightable Quasi-Metrics”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, Aug. 2015, pp. 775-87, https://izlik.org/JA62XN34GZ.
Vancouver
1.M.j. Campion, E. Indurain, G. Ochoa, O. Valero. Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):775-87. Available from: https://izlik.org/JA62XN34GZ