E'-convex sets and functions: properties and characterizations
The main properties of evenly convex sets and functions have been deeply studied by different authors, and a duality theory for evenly convex optimization problems has been well developed as well. In this theory, the notion of e-convexity appears as a necessary requirement for obtaining important re...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/68300 |
| Acesso em linha: | http://hdl.handle.net/10017/68300 https://dx.doi.org/10.1007/s10013-020-00414-2 |
| Access Level: | acceso abierto |
| Palavra-chave: | Generalized convex conjugation Evenly convex set and function E-convex set and function Matemáticas Mathematics |
| Resumo: | The main properties of evenly convex sets and functions have been deeply studied by different authors, and a duality theory for evenly convex optimization problems has been well developed as well. In this theory, the notion of e-convexity appears as a necessary requirement for obtaining important results in strong and stable strong duality. This fact has motivated the authors to study possible properties of this kind of convexity in sets and functions, which is closely connected to even convexity. |
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