- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 4
- Functional equations related to weightable quasi-metrics
Functional equations related to weightable quasi-metrics
Authors : M. J. Campion, E. Indurain, G. Ochoa, O. Valero
Pages : 775-787
View : 12 | Download : 5
Publication Date : 2015-08-01
Article Type : Research
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