  The field-induced antiferromagnetic (AFM) ordering in the
$d_{x^2-y^2}$-paired superconducting phase, which has been recently found in
the weak-coupling approach as a basic mechanism due to the Pauli paramagnetic
pair-breaking (PPB) in relation to the high-field behaviors in CeCoIn_5, is
studied in the strong-coupling approach taking account of the electron
correlation. Applying the fluctuation-exchange (FLEX) approximation to the
two-dimensional Hubbard model including the Zeeman term, it is shown that the
PPB-induced AFM ordering in the superconducting (SC) phase and the first order
SC transition on H_{c2}(T) are realized in the strong-coupling approach as well
as those in the weak-coupling model, and that the AFM ordering is affected by
the quasiparticle renormalization and the amplitude of the SC order parameter.
This AFM ordering may appear in a wide range of materials close to an AFM
quantum critical point (QCP).
