IJPAM: Volume 77, No. 1 (2012)

STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY

Ick-Soon Chang$^1$, Won-Gil Park$^2$
$^1$Departament of Mathematics
Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA
$^2$Department of Mathematics Education
Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA


Abstract. In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality

\begin{displaymath}\Vert f(x)+f(y)+f(z)\Vert\le\Vert f(x+y)+f(z)\Vert\end{displaymath}

in Banach spaces.

Received: February 10, 2012

AMS Subject Classification: 39B82, 46Bxx, 47Jxx

Key Words and Phrases: Banach space, additive functional inequality

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 1