  We propose a primal-dual backward reflected forward splitting method for
solving structured primal-dual monotone inclusion in real Hilbert space. The
algorithm allows to use the inexact computations of the Lipschitzian and
cocoercive operators. The strong convergence of the generated iterative
sequence is proved under the strong monotonicity condition, whilst the weak
convergence is formally proved under several conditioned used in the
literature. An application to a structured minimization problem is supported.
