  In this paper, we study the stability of the orthogonal equation,which is
closely related to the results by Wlodzimierz Fechner and Justyna Sikorska in
2010. There are some differences that we consider the target space with the
\b{eta}-homogeneous norm and quasi-norm. Overcoming the \b{eta}-homogeneous
norm and quasi-norm bottlenecks, we get some new results.
