Inversibilité des correspondances de Galois fonctionnelles

Marianne Akian; Stéphane Gaubert; Vassili Kolokoltsov

doi:10.1016/S1631-073X(02)02594-3

Inversibilité des correspondances de Galois fonctionnelles

Marianne Akian
, Stéphane Gaubert
, Vassili Kolokoltsov

Nottingham Trent University
Institute for Information Transmission Problems (RAS)

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for maxplus linear equations.

Titre traduit de la contribution	Invertibility of functional Galois connections
langue originale	Français
Pages (de - à)	883-888
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	335
Numéro de publication	11
Les DOIs	https://doi.org/10.1016/S1631-073X(02)02594-3
état	Publié - 1 déc. 2002

Accès au document

10.1016/S1631-073X(02)02594-3

Contient cette citation

@article{6afdf76c9da84024aa95cf250b936e86,

title = "Inversibilit{\'e} des correspondances de Galois fonctionnelles",

abstract = "We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for maxplus linear equations.",

author = "Marianne Akian and St{\'e}phane Gaubert and Vassili Kolokoltsov",

year = "2002",

month = dec,

day = "1",

doi = "10.1016/S1631-073X(02)02594-3",

language = "Fran{\c c}ais",

volume = "335",

pages = "883--888",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "11",

}

TY - JOUR

T1 - Inversibilité des correspondances de Galois fonctionnelles

AU - Akian, Marianne

AU - Gaubert, Stéphane

AU - Kolokoltsov, Vassili

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for maxplus linear equations.

AB - We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for maxplus linear equations.

U2 - 10.1016/S1631-073X(02)02594-3

DO - 10.1016/S1631-073X(02)02594-3

M3 - Article

AN - SCOPUS:0038053075

SN - 1631-073X

VL - 335

SP - 883

EP - 888

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 11

ER -

Inversibilité des correspondances de Galois fonctionnelles

Résumé

Accès au document

Empreinte digitale

Contient cette citation