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A note on a fixed point theorem on topological cylinders

TitleA note on a fixed point theorem on topological cylinders
Publication TypeJournal Article
Year of Publication2017
AuthorsFeltrin, G
JournalAnn. Mat. Pura Appl.
Abstract

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.

URLhttp://urania.sissa.it/xmlui/handle/1963/35263
DOI10.1007/s10231-016-0623-2

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