additive functional inequality; fixed point; random derivation; random homomorphism; Hyers-Ulam stability; random normed algebra
Issue Date
2012-09
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
Journal of inequalities and applications, 2012, 194, P.1-13
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces