Geodesic
On the Surjectivity Properties of Perturbations of Maximal Monotone Operators in Non-Reflexive Banach Spaces
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 209-226 Cet article a éte moissonné depuis la source Heldermann Verlag

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We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal monotonicity, in a non-reflexive space we characterize maximality using an "enlarged" version of the duality mapping, introduced previously by Gossez.
Classification : 47H05, 47H14, 49J52, 47N10
Mots-clés : Maximal monotone operators, Fitzpatrick functions, duality mapping, non-reflexive Banach spaces 
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     author = {M. Marques Alves and B. F. Svaiter},
     title = {On the {Surjectivity} {Properties} of {Perturbations} of {Maximal} {Monotone} {Operators} in {Non-Reflexive} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {209--226},
     year = {2011},
     volume = {18},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a11/}
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M. Marques Alves; B. F. Svaiter. On the Surjectivity Properties of Perturbations of Maximal Monotone Operators in Non-Reflexive Banach Spaces. Journal of convex analysis, Tome 18 (2011) no. 1, pp. 209-226. http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a11/