%0 Journal Article
%T Orthogonal Stability of an Additive-quartic Functional Equation in Non-Archimedean Spaces
%A Seung Yeon Kang
%A Seon Woo Kim
%A Dong Hwan Lee
%A Bum Joon Son
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00123
%X Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation f(2x+y)+ f(2x-y)=4 f(x+y)+ 4 f(x-y) + 10 f(x) + 14f(-x) - 3 f(y)-3f(-y) for all $x, y$ with $xperp y$, in non-Archimedean Banach spaces. Here $perp$ is the orthogonality in the sense of R tz.
%K Hyers-Ulam stability
%K orthogonally additive-quartic functional equation
%K fixed point
%K non-Archimedean normed space
%K orthogonality space
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00123/article.pdf