Search for CP violation in the decays D^± → K_S^0K^±, D_s^± → K_s^0K^± and D^±_s → K_s^0π^±

We report a search for CP violation in the decay modes D^±→K_S^0K^±, D_s^±→K_S^0K^±, and D_s^±→K_S^0π^± using a data set corresponding to an integrated luminosity of 469 fb^(-1) collected with the BABAR detector at the PEP-II asymmetric energy e^+e^- storage rings. The decay rate CP asymmetries, A_(CP), are determined to be (+0.13±0.36(stat)±0.25(syst))%, (-0.05±0.23(stat)±0.24(syst))%, and (+0.6±2.0(stat)±0.3(syst))%, respectively. These measurements are consistent with zero, and also with the Standard Model prediction [(-0.332±0.006)% for the D^±→K_S^0K^± and D_s^±→K_S^0K^± modes, and (+0.332±0.006)% for the D_s^±→K_S^0π^± mode]. They are the most precise determinations to date