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]).

Bibliographic Details
Main Author: Costică Mustăţa
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2001-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/682
_version_ 1818520850309054464
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