Random normed space; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation
Issue Date
2016-07
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS (2016), v. 9, NO. 4, Page. 1787-1806
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation
f (x + 2y) + f (x - 2y) = 4f (x + y) + 4f (x - y) - 6f (x) + f (2y) + f (-2y) - 4f (y) - 4f (-y)
in random normed spaces. (C) 2016 All rights reserved.