- Title
- Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type
- Creator
- Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
- Relation
- Optimization Letters Vol. 6, Issue 8, p. 1875-1881
- Publisher Link
- http://dx.doi.org/10.1007/s11590-011-0383-2
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2012
- Description
- 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.
- Subject
- Fitzpatrick function; maximally monotone operator; monotone operator; multifunction; operator of type (D); operator of type (FP); operator of type (NI); set valued operator
- Identifier
- http://hdl.handle.net/1959.13/1038072
- Identifier
- uon:13511
- Identifier
- ISSN:1862-4472
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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