Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.18650 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910623474909184 |
|---|---|
| author | Wachsmuth, Gerd |
| author_facet | Wachsmuth, Gerd |
| contents | We give an example of a convex, finite and lower semicontinuous function whose subdifferential is everywhere empty. This is possible since the function is defined on an incomplete normed space. The function serves as a universal counterexample to various statements in convex analysis in which completeness is required. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A convex, finite and lower semicontinuous function with empty subdifferential Wachsmuth, Gerd Optimization and Control We give an example of a convex, finite and lower semicontinuous function whose subdifferential is everywhere empty. This is possible since the function is defined on an incomplete normed space. The function serves as a universal counterexample to various statements in convex analysis in which completeness is required. |
| title | A convex, finite and lower semicontinuous function with empty subdifferential |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2409.18650 |