TY - JOUR T1 - Functional equations related to weightable quasi-metrics AU - Campion, M.j. AU - Indurain, E. AU - Ochoa, G. AU - Valero, O. PY - 2015 DA - August JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 775 EP - 787 VL - 44 IS - 4 LA - en AB - Starting from the definition of a weightable quasi-metric we observethat several functional equations are induced in a natural way. Studying these equations we characterize weightable quasi-metrics and showthat they define representable total preorders. We also analyze how toretrieve weightable quasi-metrics from real-valued functions satisfyingsuitable functional equations.  KW - Functional equations in two variables KW - Weightable quasi-metrics KW - Representable total preorders CR - . UR - https://dergipark.org.tr/en/pub/hujms/issue//524273 L1 - https://dergipark.org.tr/en/download/article-file/644637 ER -