INTRODUCTION TO THE PROBABILISTIC 1-LIPSCHITZ MAPS

Abstract : We introduce the notion of probabilistic 1-Lipschitz map defined on a probabilistic metric space and give an analogous to the result of Mac Shane on the extenstion of real-valued Lipschitz functions from a subset of a metric space to the whole space.
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Contributor : Mohammed Bachir <>
Submitted on : Wednesday, December 27, 2017 - 3:47:59 AM
Last modification on : Saturday, December 30, 2017 - 1:10:41 AM
Long-term archiving on : Wednesday, March 28, 2018 - 12:12:08 PM

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Mohammmed Bachir. INTRODUCTION TO THE PROBABILISTIC 1-LIPSCHITZ MAPS. 2017. ⟨hal-01672758⟩

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