Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space

Ruchi Das and Tarun Das

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

We define and study the notions of positively and negatively -asymptotic points for a homeomorphism on a metric -space. We obtain necessary and sufficient conditions for two points to be positively/negatively -asymptotic. Also, we show that the problem of studying -expansive homeomorphisms on a bounded subset of a normed linear -space is equivalent to the problem of studying linear -expansive homeomorphisms on a bounded subset of another normed linear -space.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:237820

DOI: 10.1155/2012/237820

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