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This paper proposes a new semi-blind data-selective affine projection algorithm for channel equalization. This algorithm generalizes the concept of set-membership filtering to be used when the transmitted symbols belong to an M-PSK constellation. Moreover, the criterion for updating the estimate is based on error measure considered relevant to the constellation. The proposed algorithm incorporates appropriate constraints to the set-membership affine projection (SM-AP) algorithm resulting in a generalized adaptive algorithm for M-PSK equalization (SM-AP-CMA) which results in fast convergence while keeping a reduced number of coefficient updates. Simulation results using a UMTS channel model are presented in order to confirm the improved features attained by the proposed algorithm.