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Asplund Decomposition of Monotone Operators

Borwein, Jonathan M. and Wiersma, Herre (2007) Asplund Decomposition of Monotone Operators. SIAM Journal on Control and Optimization, 18 . ISSN 0363-0129

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    Abstract

    We establish representations of a monotone mapping as the sum of a maximal subdifferential mapping and a `remainder' monotone mapping, where the remainder is either skew linear, or `acyclic', in the sense that it contains no nontrivial subdifferential component. Examples are given of indecomposable and acyclic operators. In particular, we present a nonlinear acyclic operator.

    Item Type: Article
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: skew mapping, monotone operator, decomposition
    Subjects: 46-xx Functional analysis > 46Txx Nonlinear functional analysis
    47-xx Operator theory > 47Hxx Nonlinear operators and their properties
    49-xx Calculus of variations and optimal control; optimization
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 02 May 2006
    Last Modified: 11 Jan 2015 19:10
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/321

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