Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type
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typedenseeveryfitzpatrick-phelpsmaximallymonotoneoperatoractually
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We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions of monotonicity coincide.
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