The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation ...

We prove a version of the implicit function theorem for Lipschitz mappings ƒ : ℝn+m ⊃ A → X into arbitrary metric spaces. As long as the pull-back of the Hausdorff content H ∞ n by ƒ has positive ...