Subdifferential test for optimality

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. Copyright Springer Science+Business Media New York 2014

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Year of publication:	2014
Authors:	Jules, Florence ; Lassonde, Marc
Published in:	Journal of Global Optimization. - Springer. - Vol. 59.2014, 1, p. 101-106
Publisher:	Springer
Subject:	Lower semicontinuity \| Subdifferential \| Directional derivative \| First-order condition \| Optimality criterion \| Maximal monotonicity

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010896457