Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints
We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable fu...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:185586 |
| Acceso en línea: | https://ddd.uab.cat/record/185586 https://dx.doi.org/urn:doi:10.1007/s11590-014-0822-y |
| Access Level: | acceso abierto |
| Palabra clave: | Convex optimization Nonsmooth optimization Optimality conditions |
| Sumario: | We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha. |
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