Geodesic
On Two Properties of Enlargements of Maximal Monotone Operators
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 713-725
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We give an answer to an open problem regarding the full enlargeability of a maximal monotone operator $S:X\rightrightarrows X^*$ by $S^{se}$, the smallest enlargement belonging to a certain class of enlargements associated to $S$. Moreover, we prove the weak$^*$ closedness of the set $S_{h_S}(\varepsilon_1,x)+T_{h_T} (\varepsilon_2,x)$ under a weak generalized interior regularity condition.
Classification : 47H05, 46N10, 42A50
Mots-clés : Monotone operator, Fitzpatrick function, representative function, enlargement, subdifferential 
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     author = {R. I. Bot and E. R. Csetnek},
     title = {On {Two} {Properties} of {Enlargements} of {Maximal} {Monotone} {Operators}},
     journal = {Journal of convex analysis},
     pages = {713--725},
     year = {2009},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a8/}
}
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R. I. Bot; E. R. Csetnek. On Two Properties of Enlargements of Maximal Monotone Operators. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 713-725. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a8/