Extensions of semi-Lipschitz functions on quasi-metric spaces
The aim of this note is to prove an extension theorem for semi-Lipschitz real functions dened on quasi-metric spaces, similar to McShane extension theorem for real-valued Lipschitz functions dened on a metric space ([2], [4]).
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Format: | Article |
Language: | English |
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Publishing House of the Romanian Academy
2001-02-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/682 |
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author | Costică Mustăţa |
author_facet | Costică Mustăţa |
author_sort | Costică Mustăţa |
collection | DOAJ |
description | The aim of this note is to prove an extension theorem for semi-Lipschitz real functions dened on quasi-metric spaces, similar to McShane extension theorem for real-valued Lipschitz functions dened on a metric space
([2], [4]). |
first_indexed | 2024-12-11T01:43:09Z |
format | Article |
id | doaj.art-3896abcf9ec14876bdf7fb6902f047d6 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-12-11T01:43:09Z |
publishDate | 2001-02-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-3896abcf9ec14876bdf7fb6902f047d62022-12-22T01:24:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2001-02-01301Extensions of semi-Lipschitz functions on quasi-metric spacesCostică Mustăţa0Tiberiu Popoviciu Institute of Numerical AnalysisThe aim of this note is to prove an extension theorem for semi-Lipschitz real functions dened on quasi-metric spaces, similar to McShane extension theorem for real-valued Lipschitz functions dened on a metric space ([2], [4]).https://www.ictp.acad.ro/jnaat/journal/article/view/682 |
spellingShingle | Costică Mustăţa Extensions of semi-Lipschitz functions on quasi-metric spaces Journal of Numerical Analysis and Approximation Theory |
title | Extensions of semi-Lipschitz functions on quasi-metric spaces |
title_full | Extensions of semi-Lipschitz functions on quasi-metric spaces |
title_fullStr | Extensions of semi-Lipschitz functions on quasi-metric spaces |
title_full_unstemmed | Extensions of semi-Lipschitz functions on quasi-metric spaces |
title_short | Extensions of semi-Lipschitz functions on quasi-metric spaces |
title_sort | extensions of semi lipschitz functions on quasi metric spaces |
url | https://www.ictp.acad.ro/jnaat/journal/article/view/682 |
work_keys_str_mv | AT costicamustata extensionsofsemilipschitzfunctionsonquasimetricspaces |