Let W be a topological space, H be a real Hilbert space and \(T: W\times H\to 2^ H\) with \(0\in T(W_ 0,0)\) for some \(W_ 0\in W\). The authors prove an implicit function theorem for T assuming that \(T(w,\cdot): H\to 2^ H\) is maximal monotone on \(\bar B(0,d)\) for all w and for each \(w\in N_ r(w_ 0)\), a neighborhood of \(w_ 0\) with \(r<d\), the restriction of \((I+T(w,\cdot))^{-1}\) to \(\bar B(0,r)\) is retractable. Applications to variational inequalities are given.