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http://dx.doi.org/10.14403/jcms.2015.28.3.397

GENERALIZED HYERS-ULAM STABILITY OF CUBIC TYPE FUNCTIONAL EQUATIONS IN NORMED SPACES  

KIM, GWANG HUI (Department of Mathematics Kangnam University)
SHIN, HWAN-YONG (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.3, 2015 , pp. 397-408 More about this Journal
Abstract
In this paper, we solve the Hyers-Ulam stability problem for the following cubic type functional equation $$f(rx+sy)+f(rx-sy)=rs^2f(x+y)+rs^2f(x-y)+2r(r^2-s^2)f(x)$$in quasi-Banach space and non-Archimedean space, where $r={\neq}{\pm}1,0$ and s are real numbers.
Keywords
cubic functional equation; quasi-noremd space; non-Archimedean space;
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