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On consistency of stationary points of stochastic optimization problems in a Banach space - MaRDI portal

On consistency of stationary points of stochastic optimization problems in a Banach space (Q1046507)

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scientific article; zbMATH DE number 5651212
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On consistency of stationary points of stochastic optimization problems in a Banach space
scientific article; zbMATH DE number 5651212

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    On consistency of stationary points of stochastic optimization problems in a Banach space (English)
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    22 December 2009
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    Stochastic optimization problems are approximated by sample averaging. Generalizing a result by Balaji and Xu, it is shown that accumulation points of Clarke stationary points of the approximate problems are weak Clarke stationary points. Moreover, a strong law of large numbers and a multivalued Komlos theorem are proved.
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    Clarke stationary points
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