Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps
Academic Article
Publication Date:
2014
Short description:
Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps / Sovrano, E.; Zanolin, F.. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 46:1(2014), pp. 101-121.
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.
Iris type:
Articolo su rivista
Keywords:
Chaotic dynamics; Continuous maps; Covering relations; Fixed points; Snap-back repellers
List of contributors:
Sovrano, E.; Zanolin, F.
Published in: