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Optimization tools for solving equilibrium problems with nonsmooth data

Bigi, Giancarlo and Pappalardo, Massimo and Passacantando, Mauro (2015) Optimization tools for solving equilibrium problems with nonsmooth data. Technical Report del Dipartimento di Informatica, TR . Università di Pisa, Pisa, IT. (Submitted)

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    Abstract

    The paper deals with the gap function approach for equilibrium problems with locally Lipschitz data. The gap function inherits the locally Lipschitz continuity of the data. Hence, the connections between its generalized directional derivatives, monotonicity conditions on the equilibrium bifunction and descent properties can be analysed. In turn, this analysis leads to devise two descent methods. Finally, the results of preliminary numerical tests arereported.

    Item Type: Book
    Subjects: Area01 - Scienze matematiche e informatiche > MAT/09 - Ricerca operativa
    Area13 - Scienze economiche e statistiche > SECS-S/06 - Metodi matematici dell'economia e delle scienze attuariali e finanziarie
    Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI INFORMATICA
    Depositing User: Giancarlo Bigi
    Date Deposited: 29 Sep 2015 12:53
    Last Modified: 29 Sep 2015 12:53
    URI: http://eprints.adm.unipi.it/id/eprint/2349

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