Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces

L. Batista Dos Santos; R. Osuna-Gómez; M. A. Rojas-Medar; A. Rufián-Lizana

doi:10.1016/j.camwa.2003.05.013

Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces

L. Batista Dos Santos
, R. Osuna-Gómez
, M. A. Rojas-Medar
, A. Rufián-Lizana

Universidade Estadual de Campinas
University of Seville

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

23 Citas (Scopus)

Resumen

In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.

Idioma original	Inglés
Páginas (desde-hasta)	885-895
Número de páginas	11
Publicación	Computers and Mathematics with Applications
Volumen	48
N.º	5-6
DOI	https://doi.org/10.1016/j.camwa.2003.05.013
Estado	Publicada - sept 2004
Publicado de forma externa	Sí

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10.1016/j.camwa.2003.05.013

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title = "Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces",

abstract = "In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.",

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AU - Dos Santos, L. Batista

AU - Osuna-Gómez, R.

AU - Rojas-Medar, M. A.

AU - Rufián-Lizana, A.

PY - 2004/9

Y1 - 2004/9

N2 - In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.

AB - In this work, we introduce the notion of preinvex function for functions between Banach spaces. By using these functions, we obtain necessary and sufficient conditions of optimality for vectorial problems with restrictions of inequalities. Moreover, we will show that this class of problems has the property that each local optimal solution is in fact global.

KW - Multiobjective optimization

KW - Optimality conditions

KW - Preinvexity

UR - https://www.scopus.com/pages/publications/14644415575

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DO - 10.1016/j.camwa.2003.05.013

M3 - Article

AN - SCOPUS:14644415575

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JO - Computers and Mathematics with Applications

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Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces

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