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arXiv · 1104.0750

Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type

Heinz H. Bauschke·Jonathan M. Borwein·Xianfu Wang·Liangjin Yao
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Abstract

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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Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao. 2011-04-05. Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. https://arxiv.org/abs/1104.0750

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