The Use of the Relative Interior in Integration with Nonconvex Data


Autoria(s): López Cerdá, Marco A.; Volle, Michel
Contribuinte(s)

Universidad de Alicante. Departamento de Estadística e Investigación Operativa

Laboratorio de Optimización (LOPT)

Data(s)

12/06/2015

12/06/2015

01/03/2014

Resumo

Introducing an appropriate inclusion between approximate minima associated with two nonconvex functions, we derive explicit relations between the closed convex hulls of these functions. The formula we obtain goes beyond the so-called epi-pointed property of functions which is usually concerned with such a topic.

Identificador

Set-Valued and Variational Analysis. 2014, 22(1): 247-258. doi:10.1007/s11228-013-0246-3

1877-0533 (Print)

1877-0541 (Online)

http://hdl.handle.net/10045/47497

10.1007/s11228-013-0246-3

Idioma(s)

eng

Publicador

Springer Science+Business Media Dordrecht

Relação

http://dx.doi.org/10.1007/s11228-013-0246-3

Direitos

© Springer Science+Business Media Dordrecht 2013. The final publication is available at Springer via http://dx.doi.org/10.1007/s11228-013-0246-3

info:eu-repo/semantics/restrictedAccess

Palavras-Chave #Closed-convexification #Integration theory #Approximate minima #Infimal convolution #Relative interior #Estadística e Investigación Operativa
Tipo

info:eu-repo/semantics/article