Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space | Zendy

Ruchi Das | Zendy; Tarun Das | Zendy

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Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space

Author(s) -

Ruchi Das,

Tarun Das

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/237820

Subject(s) - mathematics , expansive , bounded function , homeomorphism (graph theory) , metric space , space (punctuation) , normed vector space , metric (unit) , pure mathematics , discrete mathematics , mathematical analysis , linguistics , philosophy , materials science , compressive strength , operations management , economics , composite material

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

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