[Une représentation des opérateurs maximaux monotones par des fonctions convexes et son impact sur les règles de calcul]
Nous introduisons une représentation nouvelle pour les opérateurs maximaux monotones à l'aide de fonctions convexes. Nous la relions à des représentations dues à Krauss, Fitzpatrick, Martı́nez-Legaz et Théra. Nous montrons son utilité pour obtenir des règles de composition et de somme.
We introduce a new representation for maximal monotone operators. We relate it to previous representations given by Krauss, Fitzpatrick and Martı́nez-Legaz and Théra. We show its usefulness for the study of compositions and sums of maximal monotone operators.
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@article{CRMATH_2004__338_11_853_0,
author = {Jean-Paul Penot},
title = {A representation of maximal monotone operators by closed convex functions and its impact on calculus rules},
journal = {Comptes Rendus. Math\'ematique},
pages = {853--858},
publisher = {Elsevier},
volume = {338},
number = {11},
year = {2004},
doi = {10.1016/j.crma.2004.03.017},
language = {en},
}
TY - JOUR AU - Jean-Paul Penot TI - A representation of maximal monotone operators by closed convex functions and its impact on calculus rules JO - Comptes Rendus. Mathématique PY - 2004 SP - 853 EP - 858 VL - 338 IS - 11 PB - Elsevier DO - 10.1016/j.crma.2004.03.017 LA - en ID - CRMATH_2004__338_11_853_0 ER -
Jean-Paul Penot. A representation of maximal monotone operators by closed convex functions and its impact on calculus rules. Comptes Rendus. Mathématique, Volume 338 (2004) no. 11, pp. 853-858. doi : 10.1016/j.crma.2004.03.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.017/
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