Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

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

doi:10.1016/j.camwa.2007.08.028

Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

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

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

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

12 Scopus citations

Abstract

In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].

Original language	English
Pages (from-to)	1808-1814
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	55
Issue number	8
DOIs	https://doi.org/10.1016/j.camwa.2007.08.028
State	Published - Apr 2008
Externally published	Yes

Keywords

Banach spaces
Pseudoinvex functions
Variational-like inequality problem
Vectorial optimization problem
Weak efficiency

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10.1016/j.camwa.2007.08.028

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title = "Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces",

abstract = "In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garz{\'o}n et al. [G. Ruiz-Garz{\'o}n, R. Osuna-G{\'o}mez, A. Rufi{\'a}n-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].",

keywords = "Banach spaces, Pseudoinvex functions, Variational-like inequality problem, Vectorial optimization problem, Weak efficiency",

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

year = "2008",

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T1 - Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

AU - dos Santos, Lucelina Batista

AU - Ruiz-Garzón, Gabriel

AU - Rojas-Medar, Marko A.

AU - Rufián-Lizana, Antonio

PY - 2008/4

Y1 - 2008/4

N2 - In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].

AB - In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-Garzón et al. [G. Ruiz-Garzón, R. Osuna-Gómez, A. Rufián-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].

KW - Banach spaces

KW - Pseudoinvex functions

KW - Variational-like inequality problem

KW - Vectorial optimization problem

KW - Weak efficiency

UR - https://www.scopus.com/pages/publications/40749104294

U2 - 10.1016/j.camwa.2007.08.028

DO - 10.1016/j.camwa.2007.08.028

M3 - Article

AN - SCOPUS:40749104294

SN - 0898-1221

VL - 55

SP - 1808

EP - 1814

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8

ER -

Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

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Keywords

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