A Crossing Lemma for Annular Regions and Invariant Sets with an Application to Planar Dynamical Systems

We present a topological result, named crossing lemma, dealing with the existence of a continuum which crosses a topological space between a pair of “opposite” sides. This topological lemma allows us to obtain some fixed point results. In the works of Pascoletti et al., 2008, and Pascoletti and Zano...

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Bibliographic Details
Main Authors: Anna Pascoletti, Fabio Zanolin
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/267393