A New Qualification Condition for the Maximality of the Sum of Maximal Monotone Operators in General Banach Spaces
Journal of convex analysis, Tome 19 (2012) no. 2, pp. 575-589
Voir la notice de l'article provenant de la source Heldermann Verlag
We study maximal monotonicity of the sum of maximal monotone operators in general Banach spaces. Under certain qualification condition (QC) on the domain of Fitzpatrick convex representations of the operators the sum is maximal monotone, even in nonreflexive Banach spaces.
Classification :
47H05, 49J52, 47N10
Mots-clés : Maximal monotone operators, sum, nonreflexive Banach spaces, Fitzpatrick functions
Mots-clés : Maximal monotone operators, sum, nonreflexive Banach spaces, Fitzpatrick functions
@article{JCA_2012_19_2_JCA_2012_19_2_a14,
author = {M. Marques Alves and B. F. Svaiter},
title = {A {New} {Qualification} {Condition} for the {Maximality} of the {Sum} of {Maximal} {Monotone} {Operators} in {General} {Banach} {Spaces}},
journal = {Journal of convex analysis},
pages = {575--589},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {2012},
url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a14/}
}
TY - JOUR AU - M. Marques Alves AU - B. F. Svaiter TI - A New Qualification Condition for the Maximality of the Sum of Maximal Monotone Operators in General Banach Spaces JO - Journal of convex analysis PY - 2012 SP - 575 EP - 589 VL - 19 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a14/ ID - JCA_2012_19_2_JCA_2012_19_2_a14 ER -
%0 Journal Article %A M. Marques Alves %A B. F. Svaiter %T A New Qualification Condition for the Maximality of the Sum of Maximal Monotone Operators in General Banach Spaces %J Journal of convex analysis %D 2012 %P 575-589 %V 19 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a14/ %F JCA_2012_19_2_JCA_2012_19_2_a14
M. Marques Alves; B. F. Svaiter. A New Qualification Condition for the Maximality of the Sum of Maximal Monotone Operators in General Banach Spaces. Journal of convex analysis, Tome 19 (2012) no. 2, pp. 575-589. http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a14/