G. OCHOA, O. VALERO, M.J. CAMPİÓN, E. INDURÁİN

96111

Functional equations related to weightable quasi-metrics

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,

PDF

___

  • .
Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Arşiv
Sayıdaki Diğer Makaleler

Özlem Girgin ATLIHAN

Yuanbiao ZHANG, Haiping SHİ, Xia LİU

Dongjin ZHU, Guangjun SHEN, Xiuwei YIN

S RAJARAM, V VAMİTHA

Pietro CERONE

Hosein Fazaeli MOGHIMI, Mahdi SAMIEI

Muhammad Amer LATIF, Svere S. DRAGOMIR

Mircea CRASMAREANU, Adara M. BLAGA

Aureliano M. ROBLES-PÉREZ, José Carlos ROSALES

Marko OBRADOVİĆ, Milan JOVANOVİĆ, Bojana MİLOŠEVİĆ, Vesna JEVREMOVİĆ