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http://dx.doi.org/10.14403/jcms.2014.27.3.455

ON THE STABILITY OF AN ADDITIVE SET-VALUED FUNCTIONAL EQUATION  

Chu, Hahng-Yun (Department of Mathematics Chungnam National University)
Yoo, Seung Ki (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 455-467 More about this Journal
Abstract
In this paper, we consider the additive set-valued functional equation $nf(\sum_{i=1}^{n}x_i)=\sum_{i=1}^{n}f(x_i){\oplus}\sum_{1{\leq}i<j{\leq}n}f(x_i+x_j)$ where $n{\geq}2$ is an integer, and prove the Hyers-Ulam stability of the functional equation.
Keywords
Hyers-Ulam stability; additive functional equation; set-valued functional equation;
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