A New Old Class of Maximal Monotone Operators
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 881-89.

Voir la notice de l'article provenant de la source Heldermann Verlag

In a recent paper ["Brøndsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces", J. Convex Analysis 15(4) (2008) 693--706] the authors studied a class of maximal monotone operators, characterized by the existence of a function in Fitzpatrick's family of the operator which conjugate is above the duality product. This property was used to prove that such operators satisfies a strict version of the Brøndsted-Rockafellar property.
Classification : 47H05, 49J52, 47N10
Mots-clés : Maximal monotone operators, Broendsted-Rockafellar property, non-reflexive Banach spaces, Fitzpatrick functions
@article{JCA_2009_16_3_JCA_2009_16_3_a18,
     author = {M. Marques Alves and B. F. Svaiter},
     title = {A {New} {Old} {Class} of {Maximal} {Monotone} {Operators}},
     journal = {Journal of convex analysis},
     pages = {881--89},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a18/}
}
TY  - JOUR
AU  - M. Marques Alves
AU  - B. F. Svaiter
TI  - A New Old Class of Maximal Monotone Operators
JO  - Journal of convex analysis
PY  - 2009
SP  - 881
EP  - 89
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a18/
ID  - JCA_2009_16_3_JCA_2009_16_3_a18
ER  - 
%0 Journal Article
%A M. Marques Alves
%A B. F. Svaiter
%T A New Old Class of Maximal Monotone Operators
%J Journal of convex analysis
%D 2009
%P 881-89
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a18/
%F JCA_2009_16_3_JCA_2009_16_3_a18
M. Marques Alves; B. F. Svaiter. A New Old Class of Maximal Monotone Operators. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 881-89. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a18/