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Subdifferential Test for Optimality

Abstract : We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential. From the sufficient condition we derive that any subdifferential operator is monotone absorbing, hence maximal monotone when the function is convex.
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https://hal.archives-ouvertes.fr/hal-00761658
Contributor : Marc Lassonde Connect in order to contact the contributor
Submitted on : Wednesday, December 5, 2012 - 7:33:41 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Florence Jules, Marc Lassonde. Subdifferential Test for Optimality. Journal of Global Optimization, Springer Verlag, 2013, pp.1-6. ⟨10.1007/s10898-013-0078-6⟩. ⟨hal-00761658⟩

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