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.
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.
Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps
Sovrano E.;
2014
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.Pubblicazioni consigliate
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