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 $E\subset\mathbb R$ there exists a Lipschitz mapping $f\colon\mathbb R\to Y$ 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.