2001•Journal of Numerical Analysis and Approximation TheoryOpen access

Extensions of semi-Lipschitz functions on quasi-metric spaces

Costică Mustăța

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Abstract

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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What this paper is about

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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Available abstract

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]).

Key concepts: Lipschitz continuity, Metric map, Metric differential, Extension (predicate logic), Mathematics, Lipschitz domain, Metric space, Pure mathematics

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