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Keywords:
nonlinear operators; maximal monotone operators; range of maximal monotone operator; an approximation method of maximal monotone operators
nonlinear operators; maximal monotone operators; range of maximal monotone operator; an approximation method of maximal monotone operators
Summary:
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).
References:
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