  We find the exact bound-state solutions and normalization constant for the
Dirac equation with scalar-vector-pseudoscalar interaction terms for the
generalized Hulth\'{e}n potential in the case where we have a particular mass
function $m(x)$. We also search the solutions for the constant mass where the
obtained results correspond to the ones when the Dirac equation has spin and
pseudospin symmetry, respectively. After giving the obtained results for the
non-relativistic case, we search then the energy spectra and corresponding
upper and lower components of Dirac spinor for the case of $PT$-symmetric forms
of the present potential.
