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Existence of solutions of minimization problems with a generic cost function - MaRDI portal

Existence of solutions of minimization problems with a generic cost function (Q2782917)

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scientific article; zbMATH DE number 1725725
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Existence of solutions of minimization problems with a generic cost function
scientific article; zbMATH DE number 1725725

    Statements

    8 April 2002
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    generic uniqueness
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    optimization problems
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    lower semicontinuous functions
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    Existence of solutions of minimization problems with a generic cost function (English)
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    Classes of lower semicontinuous functions on a complete metric space are considered. Extending previous results of the author, it is shown that existence and uniqueness of the minimizer are generic properties within these classes (equipped by suitable topologies).
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