  The continuous block spin (Wilson) renormalization group equation governing
the scale dependence of the action is constructed for theories containing
scalars and fermions. A locally approximated form of this equation detailing
the structure of a generalized effective potential is numerically analyzed. The
role of the irrelevant operators in the nonperturbative renormalization group
running is elucidated and a comparison with the 1-loop perturbative results is
drawn. Focusing on the spontaneously broken phase of a model possessing a
discrete symmetry forbidding an explicit fermion mass term, mass bounds on both
the scalar and fermion degrees of freedom are established. The effect of the
generalized Yukawa coupling on the scalar mass upper bound is emphasized.
