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A GENERALIZATION OF MULTIPLIER RULES FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS

Abstract

We provide a generalization of first-order necessary conditions of optimality for infinite-dimensional optimization problems with a finite number of inequality constraints and with a finite number of inequality and equality constraints. Our assumptions on the differentiability of the functions are weaker than those of existing results.
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hal-02443579 , version 1 (17-01-2020)

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Hasan Yilmaz. A GENERALIZATION OF MULTIPLIER RULES FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS. 2020. ⟨hal-02443579⟩
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