On primal lower-nice property (Q2762963)

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scientific article; zbMATH DE number 1689813
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English
On primal lower-nice property
scientific article; zbMATH DE number 1689813

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    16 January 2002
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    non-convex lower semicontinuous function
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    primal lower-nice property
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    subdifferentials
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    On primal lower-nice property (English)
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    This paper deals with two definitions of the primal lower-nice property, which are equivalent in more general setting of spaces and subdifferentials. The first definition is that the primal lower-nice property rely on lower estimate of the first order Taylor approximation. The second one includes only subdifferentials. The authors show that they characterize the same class of functions.
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