Corrigendum to “The envelope theorem for multiobjective convex programming via contingent derivatives” [J. Math. Anal. Appl. 372 (1) (2010) 197–207]


Autoria(s): García Castaño, Fernando; Melguizo Padial, Miguel Ángel; Muñoz-Bouzo, María José
Contribuinte(s)

Universidad de Alicante. Departamento de Matemática Aplicada

Sistémica, Cibernética y Optimización (SCO)

Data(s)

22/09/2016

22/09/2016

01/03/2015

Resumo

The aim of this note is to formulate an envelope theorem for vector convex programs. This version corrects an earlier work, “The envelope theorem for multiobjective convex programming via contingent derivatives” by Jiménez Guerra et al. (2010) [3]. We first propose a necessary and sufficient condition allowing to restate the main result proved in the alluded paper. Second, we introduce a new Lagrange multiplier in order to obtain an envelope theorem avoiding the aforementioned error.

Identificador

Journal of Mathematical Analysis and Applications. 2015, 423(1): 834-840. doi:10.1016/j.jmaa.2014.09.079

0022-247X (Print)

1096-0813 (Online)

http://hdl.handle.net/10045/58140

10.1016/j.jmaa.2014.09.079

Idioma(s)

eng

Publicador

Elsevier

Relação

http://dx.doi.org/10.1016/j.jmaa.2014.09.079

Direitos

© 2014 Elsevier Inc.

info:eu-repo/semantics/openAccess

Palavras-Chave #Envelope theorem #Set-valued map #Tangential regularity #Contingent or Bouligand derivative #Clarke derivative #Matemática Aplicada
Tipo

info:eu-repo/semantics/article