Subdifferential Test for Optimality

Published 3 Dec 2012 in math.OC and math.FA | (1212.0532v2)

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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