Integration of Fenchel subdifferentials revisited

We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials.

Detalles Bibliográficos
Autor: Martínez Legaz, Juan Enrique|||0000-0002-6845-6202
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:184527
Acceso en línea:https://ddd.uab.cat/record/184527
https://dx.doi.org/urn:doi:10.1007/s10013-014-0101-3
Access Level:acceso abierto
Palabra clave:Convex funcions
Fenchel subdifferential
Rockafellar integration formula
Descripción
Sumario:We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of ε-subdifferentials.