Article ID: | iaor2014858 |
Volume: | 8 |
Issue: | 5 |
Start Page Number: | 1735 |
End Page Number: | 1740 |
Publication Date: | Jun 2014 |
Journal: | Optimization Letters |
Authors: | Lassonde Marc |
Keywords: | graphs |
We show that a point is solution of the Minty variational inequality of subdifferential type for a given lower semicontinuous 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.