  In this manuscript, we proposed an interesting method to test the dual
supermassive black hole model for AGN with double-peaked narrow \oiii lines
(double-peaked narrow emitters), through their broad optical Balmer line
properties. Under the dual supermassive black hole model for double-peaked
narrow emitters, we could expect statistically smaller virial black hole masses
estimated by observed broad Balmer line properties than true black hole masses
(total masses of central two black holes). Then, we compare the virial black
hole masses between a sample of 37 double-peaked narrow emitters with broad
Balmer lines and samples of SDSS selected normal broad line AGN with
single-peaked \oiii lines. However, we can find clearly statistically larger
calculated virial black hole masses for the 37 broad line AGN with
double-peaked \oiii lines than for samples of normal broad line AGN. Therefore,
we give our conclusion that the dual supermassive black hole model is probably
not statistically preferred to the double-peaked narrow emitters, and more
efforts should be necessary to carefully find candidates for dual supermassive
black holes by observed double-peaked narrow emission lines.
