## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 902931, 45 pages.

### Nonlinear Random Stability via Fixed-Point Method

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 902931, 45 pages.

Dates
First available in Project Euclid: 3 January 2013

https://projecteuclid.org/euclid.jam/1357180332

Digital Object Identifier
doi:10.1155/2012/902931

Mathematical Reviews number (MathSciNet)
MR2904543

Zentralblatt MATH identifier
1244.39018

#### Citation

Cho, Yeol Je; Kang, Shin Min; Saadati, Reza. Nonlinear Random Stability via Fixed-Point Method. J. Appl. Math. 2012, Special Issue (2012), Article ID 902931, 45 pages. doi:10.1155/2012/902931. https://projecteuclid.org/euclid.jam/1357180332

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