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Second-order mollified derivatives and optimization - MaRDI portal

Second-order mollified derivatives and optimization (Q2569649)

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Second-order mollified derivatives and optimization
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    Second-order mollified derivatives and optimization (English)
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    26 April 2006
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    The paper under review extends to the second-order the approach introduced by Ermoliev, Norkin and Wets in order to define generalized derivatives even for discontinuous functions. Afterwards, the authors, by means of a generalized Taylor formula, establish some second-order necessary conditions for constrained and unconstrained optimization problems.
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    mollifiers
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    optimization
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    smooth approximations
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    strong semicontinuity
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