In this paper, a multiple-input hybrid frequency-time domain decision feedback equalizer is proposed to deal with the intersymbol interference in time-varying frequency-selective channels. To track the time-variation in the channel, block-based adaptive processing is considered where the equalizer taps are iteratively updated with a decision directed mode. In addition, we apply the overlap-and-save technique at the receiver. This technique makes it possible to remove the overhead due to the transmission of cyclic-prefix over each block of data, such as in usual frequency-domain equalization systems. The use of multiple-input at the receiver improves the tracking of fast time-varying channels. The proposed structure is simulated over fast time-varying and frequency-selective Rayleigh-fading channel models.