  A function $f$ defined on a 2-normed space $ (X,||.,.||)$ is ward continuous
if it preserves quasi-Cauchy sequences where a sequence $(x_n)$ of points in
$X$ is called quasi-Cauchy if $lim_{n\rightarrow\infty}||\Delta x_{n},z||=0$
for every $z\in X$. Some other kinds of continuties are also introduced via
quasi-Cauchy sequences in 2-normed spaces. It turns out that uniform limit of
ward continuous functions is again ward continuous.
