Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

THE SPACE OF PROBABILISTIC 1-LIPSCHITZ MAPS

Mohammed Bachir 1, 2 
1 Equations d'evolution
SAMM - SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : We introduce and study a natural notion of probabilistic 1-Lipschitz maps. We prove that the space of all probabilistic 1-Lipschitz maps defined on a probabilistic metric space G is also a probabilistic metric space. Moreover, when G is a group, then the space of all prob-abilistic 1-Lipschitz maps defined on G can be endowed with a monoid structure. Then, we caracterize the probabilistic invariant complete Menger groups by the space of all probabilistic 1-Lipschitz maps in the sprit of the classical Banach-Stone theorem.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal-paris1.archives-ouvertes.fr/hal-01673497
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Tuesday, January 16, 2018 - 9:38:09 PM
Last modification on : Friday, May 6, 2022 - 4:50:07 PM

Files

Space_Proba_Lipschitz.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01673497, version 2
  • ARXIV : 1801.00581

Collections

Citation

Mohammed Bachir. THE SPACE OF PROBABILISTIC 1-LIPSCHITZ MAPS. 2018. ⟨hal-01673497v2⟩

Share

Metrics

Record views

241

Files downloads

127