On some properties of Lipschitz mappings of the real line into a normed space

We prove that for each normed space Y of infinite dimension and each porous set E ⊂ ℝ there exists a Lipschitz mapping f: ℝ → Y such that the graph of f has a tangent at each of its points and f is not differentiable at any point of E. In this article we continue our research in [1] on contingents.