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Directionally generalized differentiation for multifunctions and applications to set-valued programming problems
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DOI：10.1007/s10479-017-2400-z.png)
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摘要
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The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones. Then, we apply the provided formulas to derive directionally necessary conditions for a set-valued optimization problem with equilibrium constraints.
Keyword:
Directional subdifferential
Directional coderivative
Optimality condition
Set-valued optimization
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