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Strongly regular nonsmooth generalized equations

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Abstract

This note presents an implicit function theorem for generalized equations, simultaneously generalizing Robinson’s implicit function theorem for strongly regular generalized equations and Clarke’s implicit function theorem for equations with Lipschitz-continuous mappings.

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Authors and Affiliations

  1. OR Department, VMK Faculty, Uchebniy Korpus 2, Moscow State University (MSU), Leninskiye Gory, 119991 , Moscow, Russia

    Alexey F. Izmailov

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  1. Alexey F. Izmailov
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Correspondence to Alexey F. Izmailov.

Additional information

This research is supported by the Russian Foundation for Basic Research Grant 12-01-33023.

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Izmailov, A.F. Strongly regular nonsmooth generalized equations. Math. Program. 147, 581–590 (2014). https://doi.org/10.1007/s10107-013-0717-1

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  • DOI: https://doi.org/10.1007/s10107-013-0717-1

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