Geodesic
On Rockafellar's Sum Theorem in General Banach Spaces
Journal of convex analysis, Tome 29 (2022) no. 2, pp. 381-39
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Following some older ideas of ours and some more recent ones due to Yao, we give a self contained (except some well known results) and relatively short proof of the Rockafellar's sum theorem for the largest possible class of maximally monotone operators on a non reflexive Banach space.
Classification : 47H05, 49N15, 52A41, 90C25
Mots-clés : C0-maximally monotone operator, convex function, convex set, Fitzpatrick function, maximally monotone operator, monotone operator, operator of type (FPV), sum theorem 
@article{JCA_2022_29_2_JCA_2022_29_2_a5,
     author = {A. Verona and M. E. Verona},
     title = {On {Rockafellar's} {Sum} {Theorem} in {General} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {381--39},
     year = {2022},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a5/}
}
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A. Verona; M. E. Verona. On Rockafellar's Sum Theorem in General Banach Spaces. Journal of convex analysis, Tome 29 (2022) no. 2, pp. 381-39. http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a5/