Brzdȩk, Janusz Note on stability of the Cauchy equation - an answer to a problem of Th. M. Rassias. (English) Zbl 1389.39047 Carpathian J. Math. 30, No. 1, 47-54 (2014). Summary: We give an answer to a problem formulated by Th. M. Rassias in 1991 concerning stability of the Cauchy equation; we also disprove a conjecture of Th. M. Rassias and J. Tabor. In particular, we present a new method for proving stability results for functional equations. Cited in 6 Documents MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B62 Functional inequalities, including subadditivity, convexity, etc. Keywords:Hyers-Ulam-Rasssias stability; Cauchy equation; additive function PDFBibTeX XMLCite \textit{J. Brzdȩk}, Carpathian J. Math. 30, No. 1, 47--54 (2014; Zbl 1389.39047)