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Convex analysis in groups and semigroups: a sampler

Borwein, Jonathan M. and Giladi, Ohad (2015) Convex analysis in groups and semigroups: a sampler. (Submitted)

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    Abstract

    We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather than only vector spaces. Some examples and counter-examples are also discussed.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 28 Mar 2016 12:24
    Last Modified: 28 Mar 2016 12:24
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1693

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