Functional equations related to weightable quasi-metrics

M.j. Campion; E. Indurain; G. Ochoa; O. Valero

Research Article

Functional equations related to weightable quasi-metrics

Year 2015, Volume: 44 Issue: 4, 775 - 787, 01.08.2015

M.j. Campion E. Indurain G. Ochoa O. Valero

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

Functional equations in two variables, Weightable quasi-metrics, Representable total preorders

References

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Year 2015, Volume: 44 Issue: 4, 775 - 787, 01.08.2015

M.j. Campion E. Indurain G. Ochoa O. Valero

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
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
Published in Issue	Year 2015 Volume: 44 Issue: 4

Cite

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.
AMA	Campion M, Indurain E, Ochoa G, Valero O. Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics. August 2015;44(4):775-787.
Chicago	Campion, M.j., E. Indurain, G. Ochoa, and O. Valero. “Functional Equations Related to Weightable Quasi-Metrics”. Hacettepe Journal of Mathematics and Statistics 44, no. 4 (August 2015): 775-87.
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	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, 2015.
ISNAD	Campion, M.j. et al. “Functional Equations Related to Weightable Quasi-Metrics”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 2015), 775-787.
JAMA	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, 2015, pp. 775-87.
Vancouver	Campion M, Indurain E, Ochoa G, Valero O. Functional equations related to weightable quasi-metrics. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):775-87.