Geodesic
Strongly-Representable Monotone Operators
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 1011-1033.

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

Recently M. Marques Alves and B. F. Svaiter ["Brønsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces", J. Convex Analysis 15(4) (2008) 693--706] introduced a new class of maximal monotone operators. In this note we study domain-range properties as well as connections with other classes and calculus rules for these operators we called strongly-representable. While not every maximal monotone operator is strongly-representable, every maximal monotone NI operator is strongly-representable, and every strongly-representable operator is locally maximal monotone, maximal monotone locally, strongly maximal monotone, and ANA. As a consequence the conjugate of the Fitzpatrick function of a maximal monotone operator is not necessarily a representative function. 
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     author = {M. D. Voisei and C. Zalinescu},
     title = {Strongly-Representable {Monotone} {Operators}},
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     publisher = {mathdoc},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a28/}
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M. D. Voisei; C. Zalinescu. Strongly-Representable Monotone Operators. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 1011-1033. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a28/