Characterization of the monotone polar of subdifferentials - Archive ouverte HAL
Article Dans Une Revue Optimization Letters Année : 2013

Characterization of the monotone polar of subdifferentials

Résumé

We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization of the monotone polar of subdifferentials of lower semicontinuous functions: it is a common subset of their graphs which depends only on the function.

Dates et versions

hal-00842670 , version 1 (09-07-2013)

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Citer

Marc Lassonde. Characterization of the monotone polar of subdifferentials. Optimization Letters, 2013, pp.1-4. ⟨10.1007/s11590-013-0693-7⟩. ⟨hal-00842670⟩
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