- Title
- Asplund decomposition of monotone operators
- Creator
- Borwein, Jonathan; Wiersma, Herre
- Relation
- SIAM Journal on Optimization Vol. 18, Issue 3, p. 946 - 960
- Publisher Link
- http://dx.doi.org/10.1137/060658357
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- journal article
- Date
- 2007
- 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.
- Subject
- monotone operators; cyclic monotonicity; decompositions; convex subgradients; acyclic operators
- Identifier
- http://hdl.handle.net/1959.13/927011
- Identifier
- uon:10014
- Identifier
- ISSN:1052-6234
- Language
- eng
- Full Text
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|---|---|---|---|---|---|---|---|
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