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Regularity Estimates For Convex Multifunctions

Ioffe, Alexander (2006) Regularity Estimates For Convex Multifunctions. [Preprint]

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    Abstract

    The main result of the paper contains an exact formula for the rate of regularity of a set-valued mapping with a convex graph. As a consequence we find an exact expression for the rate of regularity of a set-valued mapping associated with so called constraint system. It turns out that the rate is equal to the upper bound of Robinson-type estimates over all norms in the graph space of the homogenized mapping majorizing the norm of the underlying space. We further introduce a concept of a perfectly regular mapping and find some criteria for perfect regularity.

    Item Type: Preprint
    Additional Information: pubdom TRUE
    Subjects: 46-xx Functional analysis > 46Txx Nonlinear functional analysis
    49-xx Calculus of variations and optimal control; optimization
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 18 Jan 2006
    Last Modified: 21 Apr 2010 11:13
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/313

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