On the points of multivaluedness of monotone operators
Zajíček, L.
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Zajíček, L.
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R. R. Phelps (1997)
Extracta Mathematicae
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These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
P. Kenderov (1976)
Studia Mathematica
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Josef Kolomý (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Dariusz Zagrodny (2010)
Czechoslovak Mathematical Journal
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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 can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).