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Banach Families And The Implicit Function Theorem

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Abstract

We generalise the classical implicit function theorem (IFT) for a family of Banach spaces, with the resulting implicit function having derivatives that are locally Lipschitz to very strong operator norms.

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  • Mertens, Jean-Francois & Rubinchik, Anna, "undated". "Banach Families And The Implicit Function Theorem," Working Papers WP2011/6, University of Haifa, Department of Economics.
    • Handle: RePEc:haf:huedwp:wp201106
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    File URL: http://hevra.haifa.ac.il/econ/wp_files/wp201106.pdf
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    1. MERTENS, Jean-François & RUBINCHIK, Anna, 2009. "Regularity and stability of equilibria in an overlapping generations model with exogenous growth," LIDAM Discussion Papers CORE 2009005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    More about this item

    Keywords

    Banach spaces; Implicit Function Theorem;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate

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