fixed point method; Hyers-Ulam stability; quadratic functional equation; direct method
Issue Date
2020-08
Publisher
SCIENDO
Citation
OPEN MATHEMATICS, v. 18, page. 837-845
Abstract
In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:
phi(st - uv) + phi(sv + tu) = [phi(s) + phi(u)] [phi(t) + phi(v)]
by using the direct method and the fixed point method.