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

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English
Pages (from-to)	885-895
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	48
Issue number	5-6
DOIs	https://doi.org/10.1016/j.camwa.2003.05.013
State	Published - Sep 2004
Externally published	Yes

Keywords

Multiobjective optimization
Optimality conditions
Preinvexity

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10.1016/j.camwa.2003.05.013

Cite this

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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

U2 - 10.1016/j.camwa.2003.05.013

DO - 10.1016/j.camwa.2003.05.013

M3 - Article

AN - SCOPUS:14644415575

SN - 0898-1221

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SP - 885

EP - 895

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5-6

ER -

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

Abstract

Keywords

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