A search for the K+ -> mu(-)ve(+)e(+) decay, forbidden within the Standard Model by either lepton number or lepton flavour conservation depending on the flavour of the emitted neutrino, has been performed using the dataset collected by the NA62 experiment at CERN in 2016-2018. An upper limit of 8.1 x 10(-11) is obtained for the decay branching fraction at 90% CL, improving by a factor of 250 over the previous search.