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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/927011

Title
Asplund decomposition of monotone operators
Author/Creator
Borwein, Jonathan;  Wiersma, Herre
Institution
The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description
We establish representations of a monotone mapping as the sum of a maximal subdifferential mapping and a "remainder" monotone mapping, where the remainder is "acyclic" in the sense that it contains no nontrivial subdifferential component. This is the nonlinear analogue of a skew linear operator. Examples of indecomposable and acyclic operators are given. In particular, we present an explicit nonlinear acyclic operator.
Relation
SIAM Journal on Optimization Vol. 18, Issue 3, p. 946 - 960
Publisher Link
http://dx.doi.org/10.1137/060658357
Date
2007
Publisher
Society for Industrial and Applied Mathematics
Keyword(s)
monotone operators;  cyclic monotonicity;  decompositions;  convex subgradients;  acyclic operators
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/927011
Identifier
ISSN:1052-6234
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Reviewed
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Subject
"SIAM Journal on Optimization"
 
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