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Links between functions and subdifferentials
- Publication Year :
- 2018
-
Abstract
- A function in a class $\mathcal{F}(X)$ is said to be subdifferentially determined in $\mathcal{F}(X)$ if it is equal up to an additive constant to any function in $\mathcal{F}(X)$ with the same subdifferential. A function is said to be subdifferentially representable if it can be recovered from a subdifferential. We identify large classes of lower semicontinuous functions that possess these properties.<br />Comment: 18 pages
- Subjects :
- Mathematics - Optimization and Control
49J52, 26A39, 26B25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1802.06303
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.10.031