Asymptotic Properties of G‐Expansive Homeomorphisms on a Metric G‐Space

Ruchi Das and Tarun Das

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/237820

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:237820

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().