00849nas a2200109   4500008004100000245006100041210005900102260002000161520048400181100002300665856005100688       2017                        en  d00aA note on a fixed point theorem on topological cylinders0 anote on a fixed point theorem on topological cylinders  bSpringer Verlag3 a<p>We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel’skii ones.</p>1 aFeltrin, Guglielmo  uhttp://urania.sissa.it/xmlui/handle/1963/35263