# On the probabilistic stability of the monomial functional equation

Volume 6, Issue 1, pp 51--59
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### Authors

Claudia Zaharia - Department of Mathematics, West University of Timisoara, Bd. V. Parvan 4, 300223, Timisoara, Romania.

### Abstract

Using the fixed point method, we establish a generalized Ulam - Hyers stability result for the monomial functional equation in the setting of complete random $p$-normed spaces. As a particular case, we obtain a new stability theorem for monomial functional equations in $\beta$-normed spaces.

### Share and Cite

##### ISRP Style

Claudia Zaharia, On the probabilistic stability of the monomial functional equation, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 1, 51--59

##### AMA Style

Zaharia Claudia, On the probabilistic stability of the monomial functional equation. J. Nonlinear Sci. Appl. (2013); 6(1):51--59

##### Chicago/Turabian Style

Zaharia, Claudia. "On the probabilistic stability of the monomial functional equation." Journal of Nonlinear Sciences and Applications, 6, no. 1 (2013): 51--59

### Keywords

• Random p-normed space
• Hyers - Ulam - Rassias stability
• monomial functional equation.

•  39B82
•  54E40

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• [23] C. Zaharia, D. Miheţ , On the probabilistic stability of some functional equations, Carpathian Journal of Mathematics, (accepted)