Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space
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 boun...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/237820 |
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| _version_ | 1832549898940055552 |
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| author | Ruchi Das Tarun Das |
| author_facet | Ruchi Das Tarun Das |
| author_sort | Ruchi Das |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f1c6abac55094e6fa4bb23545a31e255 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f1c6abac55094e6fa4bb23545a31e2552025-02-03T06:08:18ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/237820237820Asymptotic Properties of -Expansive Homeomorphisms on a Metric -SpaceRuchi Das0Tarun Das1Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara 390002, IndiaDepartment of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara 390002, IndiaWe 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.http://dx.doi.org/10.1155/2012/237820 |
| spellingShingle | Ruchi Das Tarun Das Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space Abstract and Applied Analysis |
| title | Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space |
| title_full | Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space |
| title_fullStr | Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space |
| title_full_unstemmed | Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space |
| title_short | Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space |
| title_sort | asymptotic properties of expansive homeomorphisms on a metric space |
| url | http://dx.doi.org/10.1155/2012/237820 |
| work_keys_str_mv | AT ruchidas asymptoticpropertiesofexpansivehomeomorphismsonametricspace AT tarundas asymptoticpropertiesofexpansivehomeomorphismsonametricspace |