Characterization of the monotone polar of subdifferentials
Optimization and Control
2014-01-23 v1
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.
Keywords
Cite
@article{arxiv.1307.1826,
title = {Characterization of the monotone polar of subdifferentials},
author = {Marc Lassonde},
journal= {arXiv preprint arXiv:1307.1826},
year = {2014}
}
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4 pages