  Three-dimensional electrodynamics in the spinor (i.e. two-component) version
is considered. With the use of the so called Salam's vertex, the infinite
hierarchy of Dyson-Schwinger equations is turned into a set of four
self-consistent equations for four parameters describing the infrared behavior
of fermion and boson propagators. It is shown numerically, that this set of
equations has solutions, at least for certain values of gauge parameter. For
weak coupling (i.e. for heavy fermions) the values of all these quantities are
found analytically. In the case of massless bare fermion, masses of both
particles are generated leading thereby to parity breaking.
