- Title
- Second order cones for maximal monotone operators via representative functions
- Creator
- Eberhard, A. C.; Borwein, J. M.
- Relation
- Set-Valued Analysis Vol. 16, Issue 2-3, p. 157-184
- Publisher Link
- http://dx.doi.org/10.1007/s11228-008-0075-y
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2008
- Description
- It is shown that various first and second order derivatives of the Fitzpatrick and Penot representative functions for a maximal monotone operator T, in a reflexive Banach space, can be used to represent differential information associated with the tangent and normal cones to the Graph T. In particular we obtain formula for the proto-derivative, as well as its polar, the normal cone to the graph of T. First order derivatives are shown to be useful in recognising points of single-valuedness of T. We show that a strong form of proto-differentiability to the graph of T, is often associated with single valuedness of T.
- Subject
- second order cones; maximal monotone operators; proto-differentiability
- Identifier
- http://hdl.handle.net/1959.13/940063
- Identifier
- uon:12937
- Identifier
- ISSN:0927-6947
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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