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The charmless decays $B^{\pm}\to K^{\pm}\pi^+\pi^-$ and $B^{\pm}\toK^{\pm}K^+K^-$ are reconstructed using data, corresponding to an integratedluminosity of 1.0 fb$^{-1}$, collected by LHCb in 2011. The inclusive chargeasymmetries of these modes are measured as $A_{C\!P}(B^{\pm}\toK^{\pm}\pi^+\pi^-) = 0.032 \pm 0.008 \stat \pm 0.004 \syst \pm 0.007 (J\psiK^{\pm})$ and $A_{C\!P}(B^{\pm}\to K^{\pm}K^+K^-) = -0.043 \pm 0.009 \stat \pm0.003 \syst \pm 0.007 (J\psi K^{\pm})$, where the third uncertainty is due tothe $C\!P$ asymmetry of the $B^{\pm}\to J\psi K^{\pm}$ reference mode. Thesignificance of $A_{C\!P}(B^{\pm}\to K^{\pm}K^+K^-)$ exceeds three standarddeviations and is the first evidence of an inclusive $C\!P$ asymmetry incharmless three-body $B$ decays. In addition to the inclusive $C\!P$asymmetries, larger asymmetries are observed in localised regions of phasespace.

Measurement of CP violation in the phase space of $B^{\pm} \to K^{\pm} \pi^{+} \pi^{-}$ and $B^{\pm} \to K^{\pm} K^{+} K^{-}$ decays