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Characterization of the monotone polar of subdifferentials (1307.1826v1)
Published 7 Jul 2013 in math.OC
Abstract: 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, which happens to be a common subset of their graphs depending only on the function.
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