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

Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu and Yao, Liangjin (2011) Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Optimization Letters .

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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.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 29 Oct 2012 17:33
    Last Modified: 03 Jan 2015 21:39
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1442

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