| Article ID: | iaor20127307 |
| Volume: | 6 |
| Issue: | 8 |
| Start Page Number: | 1875 |
| End Page Number: | 1881 |
| Publication Date: | Dec 2012 |
| Journal: | Optimization Letters |
| Authors: | Borwein Jonathan, Bauschke Heinz, Wang Xianfu, Yao Liangjin |
| Keywords: | Banach space |
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.