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

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
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