Abstract Pythagorean Theorem and Corresponding Functional Equations

[1] BERRONE, L. R.: The associativity of the Pythagorean law, Amer. Math. Monthly 116 (2009), 936-939.10.4169/000298909X477078Search in Google Scholar

[2] DUBIKAJTIS, L.: The axioms of S-geometry (oral communication; presented also at the symposium on geometry (Rome, July 1982)).Search in Google Scholar

[3] GER, R.: A consistency equation for three geometries, Aequationes Math. 29 (1985), 50-55.10.1007/BF02189814Search in Google Scholar

[4] JÁRAI, A.-MAKSA, GY.-PÁLES, ZS.: On Cauchy-differences that are also quasi sums Publ. Math. Debrecen 65 (2004), 381-398.Search in Google Scholar

[5] MAKSA, GY.: Oral communication, The 10th Debrecen-Katowice Seminar on Functional Equations and Inequalities, 2010, Zamárdi, Hungary. Search in Google Scholar