Abstract
We show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil-Stieltjes integral.
Original language | English |
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Pages (from-to) | 263-283 |
Number of pages | 21 |
Journal | Journal of Applied and Numerical Optimization |
Volume | 3 |
Issue number | 2 |
DOIs | |
State | Published - Aug 2021 |
Keywords
- Energetic solution
- Rate independence
- Regulated function
- Sweeping process
- Variational inequality