Geodesic
Lower Limits of Type (D) Monotone Operators in General Banach Spaces
Journal of convex analysis, Tome 23 (2016) no. 2, pp. 333-345
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We give, for general Banach spaces, a characterization of the sequential lower limit of maximal monotone operators of type (D) and prove its representability. As a consequence, using a recent extension of the Moreau-Yosida regularization for type (D) operators, we extend to general Banach spaces the definitions of the variational sum of monotone operators and the variational composition of monotone operators with continuous linear mappings, and we prove that both operators are representable.
Mots-clés : Banach spaces, Monotone operators, Variational Sum, Variational Composition, Type (D) operators, Moreau-Yosida regularization 
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     author = {O. Bueno and Y. Garc{\'\i}a and M. Marques Alves},
     title = {Lower {Limits} of {Type} {(D)} {Monotone} {Operators} in {General} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {333--345},
     year = {2016},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a1/}
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O. Bueno; Y. García; M. Marques Alves. Lower Limits of Type (D) Monotone Operators in General Banach Spaces. Journal of convex analysis, Tome 23 (2016) no. 2, pp. 333-345. http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a1/