On variational problems: Characterization of solutions and duality

M. Arana-Jiménez; Rafaela Osuna-Gómez; Gabriel Ruiz-Garzón; M. Rojas-Medar

doi:10.1016/j.jmaa.2004.12.001

On variational problems: Characterization of solutions and duality

M. Arana-Jiménez
, Rafaela Osuna-Gómez
, Gabriel Ruiz-Garzón
, M. Rojas-Medar

SIES Vega del Guadalete
University of Seville
University of Cádiz
Universidade Estadual de Campinas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

24 Citas (Scopus)

Resumen

In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established.

Idioma original	Inglés
Páginas (desde-hasta)	1-12
Número de páginas	12
Publicación	Journal of Mathematical Analysis and Applications
Volumen	311
N.º	1
DOI	https://doi.org/10.1016/j.jmaa.2004.12.001
Estado	Publicada - 1 nov 2005
Publicado de forma externa	Sí

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title = "On variational problems: Characterization of solutions and duality",

abstract = "In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established.",

keywords = "Critical point, Duality, Pseudoinvexity, Variational problem",

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T2 - Characterization of solutions and duality

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AU - Osuna-Gómez, Rafaela

AU - Ruiz-Garzón, Gabriel

AU - Rojas-Medar, M.

PY - 2005/11/1

Y1 - 2005/11/1

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AB - In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established.

KW - Critical point

KW - Duality

KW - Pseudoinvexity

KW - Variational problem

UR - https://www.scopus.com/pages/publications/24744466085

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On variational problems: Characterization of solutions and duality

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