Dual pulse shaping (DPS) transmissions enable the use of A/D and D/A converters with half of the symbol rate, alleviating the requirement of high speed conversion devices in wideband millimeter wave communications. In this letter, we focus on DPS equalization and propose a unitary approximate message passing (UAMP) based equalization technique. Two DPS transmission schemes are considered, and by exploiting the special structure of the system transfer matrix, two low-complexity equalizers are developed with the fast Fourier transform (FFT). Simulation results show that significant performance gains can be achieved by the UAMP-based equalizers, compared to the conventional DPS equalizer.