Two characterizations of quasiconvexity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866915203954769920 |
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| author | Fechner, Włodzimierz |
| author_facet | Fechner, Włodzimierz |
| contents | We present two characterizations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As an application we obtain an extension of the Sion's minimax theorem, as well as a new characterization of quasiconvex risk measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15983 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two characterizations of quasiconvexity Fechner, Włodzimierz Optimization and Control Classical Analysis and ODEs 26A51, 49J35, 91G70 We present two characterizations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As an application we obtain an extension of the Sion's minimax theorem, as well as a new characterization of quasiconvex risk measures. |
| title | Two characterizations of quasiconvexity |
| topic | Optimization and Control Classical Analysis and ODEs 26A51, 49J35, 91G70 |
| url | https://arxiv.org/abs/2408.15983 |