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

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

12 Scopus citations

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.

Original language	English
Pages (from-to)	547-556
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	200
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.11.027
State	Published - 1 Jul 2008
Externally published	Yes

Keywords

Invexity
Multiobjective optimization
Nonsmooth analysis
Variational-like inequalities

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10.1016/j.amc.2007.11.027

Cite this

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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",

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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

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Keywords

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