Geodesic
On maximal monotone operators with relatively compact range
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 105-116 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator $T$ can be approximated by a sequence of maximal monotone operators of type NI, which converge to $T$ in a reasonable sense (in the sense of Kuratowski-Painleve convergence).
It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator $T$ can be approximated by a sequence of maximal monotone operators of type NI, which converge to $T$ in a reasonable sense (in the sense of Kuratowski-Painleve convergence).
Classification : 47H05
Keywords: nonlinear operators; maximal monotone operators; range of maximal monotone operator; an approximation method of maximal monotone operators 
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Zagrodny, Dariusz. On maximal monotone operators with relatively compact range. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 105-116. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a8/

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