We consider the fractional Schr\"{o}dinger-Kirchhoff equations with
electromagnetic fields and critical nonlinearity
ε2sM([u]s,Aε​2​)(−Δ)Aε​s​u+V(x)u=∣u∣2s∗​−2u+h(x,∣u∣2)u,  x∈RN, where u(x)→0 as ∣x∣→∞, and (−Δ)Aε​s​
is the fractional magnetic operator with 0<s<1, 2s∗​=2N/(N−2s),M:R0+​→R+ is a continuous nondecreasing
function, V:RN→R0+​, and A:RN→RN are the electric and the magnetic potential,
respectively. By using the fractional version of the concentration compactness
principle and variational methods, we show that the above problem: (i) has at
least one solution provided that ε<E; and (ii) for any
m∗∈N, has m∗ pairs of solutions if ε<Em∗​, where E and Em∗​ are
sufficiently small positive numbers. Moreover, these solutions uε​→0 as ε→0