Existence of weakly efficient solutions in nonsmooth vector optimization

Lucelina Batista Santos; Marko Rojas-Medar; Gabriel Ruiz-Garzón; Antonio Rufián-Lizana

doi:10.1016/j.amc.2007.11.027

Existence of weakly efficient solutions in nonsmooth vector optimization

Lucelina Batista Santos
, Marko Rojas-Medar
, Gabriel Ruiz-Garzón
, Antonio Rufián-Lizana

Universidade Federal do Paraná
Universidad del Bío-Bío
University of Cádiz
University of Seville

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

12 Citas (Scopus)

Resumen

In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

Idioma original	Inglés
Páginas (desde-hasta)	547-556
Número de páginas	10
Publicación	Applied Mathematics and Computation
Volumen	200
N.º	2
DOI	https://doi.org/10.1016/j.amc.2007.11.027
Estado	Publicada - 1 jul 2008
Publicado de forma externa	Sí

Acceder al documento

10.1016/j.amc.2007.11.027

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{06cfb2d57c444a9a83b736222aaf1068,

title = "Existence of weakly efficient solutions in nonsmooth vector optimization",

abstract = "In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.",

keywords = "Invexity, Multiobjective optimization, Nonsmooth analysis, Variational-like inequalities",

author = "Santos, \{Lucelina Batista\} and Marko Rojas-Medar and Gabriel Ruiz-Garz{\'o}n and Antonio Rufi{\'a}n-Lizana",

year = "2008",

month = jul,

day = "1",

doi = "10.1016/j.amc.2007.11.027",

language = "English",

volume = "200",

pages = "547--556",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

number = "2",

}

TY - JOUR

T1 - Existence of weakly efficient solutions in nonsmooth vector optimization

AU - Santos, Lucelina Batista

AU - Rojas-Medar, Marko

AU - Ruiz-Garzón, Gabriel

AU - Rufián-Lizana, Antonio

PY - 2008/7/1

Y1 - 2008/7/1

N2 - In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

AB - In this paper we study the existence of weakly efficient solutions for some nonsmooth and nonconvex vector optimization problems. We consider problems whose objective functions are defined between infinite and finite-dimensional Banach spaces. Our results are stated under hypotheses of generalized convexity and make use of variational-like inequalities.

KW - Invexity

KW - Multiobjective optimization

KW - Nonsmooth analysis

KW - Variational-like inequalities

UR - https://www.scopus.com/pages/publications/44649158264

U2 - 10.1016/j.amc.2007.11.027

DO - 10.1016/j.amc.2007.11.027

M3 - Article

AN - SCOPUS:44649158264

SN - 0096-3003

VL - 200

SP - 547

EP - 556

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Existence of weakly efficient solutions in nonsmooth vector optimization

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto