This paper aims to characterize the capacity limits of a wireless cellular network with full-duplex (FD) base-station (BS) and half-duplex user terminals, in which three independent messages are communicated: uplink message $m_1$ from BS, downlink $m_2$ BS user, device-to-device (D2D) $m_3$ user. From an information theoretical perspective, overall can be viewed as generalization FD relay broad...