IJPAM: Volume 71, No. 4 (2011)

FIXED POINT AND RN-STABILITY OF
FUNCTIONAL EQUATIONS

Hassan Azadi Kenary$^1$, Afshin Erami$^2$, Habibi Hoseini$^3$
$^1$Department of Mathematics
College of Sciences
Yasouj University, Yasouj 75914-353, IRAN
$^2$ Department of Mathematics
Marvdasht Branch
Islamic Azad University
Marvdasht, IRAN
$^3$Department of Mathematics
Firoozabad Branch
Islamic Azad University
Firoozabad, IRAN


Abstract. In this paper, using direct method, we prove the generalized Hyers-Ulam stability of the following quadratic functional equation:

\begin{displaymath}f(3x\pm y)=f(x\pm y)+16f(x)\end{displaymath}

in random normed spaces.

Received: March 19, 2011

AMS Subject Classification: 39B82, 39B52

Key Words and Phrases: generalized Hyers-Ulam stability, random normed spaces, fixed point method

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 4