Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840723 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 15 Pages |
Abstract
A corollary of a celebrated theorem of Minty is that the subdifferential graph of a closed convex function on Rn has uniform local dimension nn. In contrast, there exist nonconvex closed functions whose subdifferentials have large graphs. We consider how far Minty’s corollary extends to functions that are nonconvex but semi-algebraic.
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Authors
D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis,