On directionally dependent subdifferentials (Q2844643)

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scientific article; zbMATH DE number 6203053
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English
On directionally dependent subdifferentials
scientific article; zbMATH DE number 6203053

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    29 August 2013
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    directional normals
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    directional subdifferentials
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    optimality conditions
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    On directionally dependent subdifferentials (English)
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    In the paper, directionally contextual concepts of variational analysis are studied. The authors introduce directional normals and directional subdifferentials based on dual constructions. Necessary and sufficient optimally conditions are obtained in terms of directional subdifferentials. It is shown by a simple example that these conditions may work while their nondirectional counterparts fail.
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