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Directionally limiting subdifferentials and second-order optimality conditions

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Abstract

Second-order derivatives of Chaney’s type are introduced for an arbitrary subdifferential. Their uses for necessary optimality conditions and sufficient optimality conditions are put in light when the subdifferential satisfies a weak sum rule.

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Correspondence to Jean-Paul Penot.

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Penot, JP. Directionally limiting subdifferentials and second-order optimality conditions. Optim Lett 8, 1191–1200 (2014). https://doi.org/10.1007/s11590-013-0663-0

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