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A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.4, pp.267-276
https://doi.org/10.7468/jksmeb.2019.26.4.267
Lee, Yang-Hi

Abstract

In this paper, we investigate the stability of an additive-cubic-quartic functional equation f(x + 2y) - 4f(x + y) + 6f(x) - 4f(x - y) + f(x - 2y) - 12f(y) - 12f(-y) = 0 by applying the fixed point theory in the sense of L. Cădariu and V. Radu.

keywords
stability, additive-cubic-quartic functional equation, fixed point theory

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics