Nonlinear Random Stability via Fixed-Point Method

We prove the generalized 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 various complete random normed spaces.

Saved in:
Bibliographic Details
Main Authors: Yeol Je Cho, Shin Min Kang, Reza Saadati
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/902931
Tags: Add Tag
No Tags, Be the first to tag this record!