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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014)
  6. Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps
 
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Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps

Sovrano, Elisa
•
Zanolin, Fabio
2014-12-23
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ISSN
0049-4704
http://hdl.handle.net/10077/10624
  • Article

Abstract
In 1948 Mario Dolcher proposed an expansive version of the Brouwer fixed point theorem for planar maps. In this article we reconsider Dolcher's result in connection with some properties, such as covering relations, which appear in the study of chaotic dynamics.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Subjects
  • continuous maps

  • fixed points

  • chaotic dynamics

  • covering relations

  • snap-back repellers

Languages
en
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RIMUT_46_Sovrano_Zanolin.pdf

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1.1 MB

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