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

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 betwe...

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Published in:Computers & mathematics with applications (1987) Vol. 55; no. 8; pp. 1808 - 1814
Main Authors: dos Santos, Lucelina Batista, Ruiz-Garzón, Gabriel, Rojas-Medar, Marko A., Rufián-Lizana, Antonio
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.04.2008
Subjects:
Banach space
Banach spaces
Hypotheses
Inequalities
Mathematical analysis
Mathematical models
Optimization
Pseudoinvex functions
Variational-like inequality problem
Vectorial optimization problem
Vectors (mathematics)
Weak efficiency
Vectorial optimization problem
Weak efficiency
Variational-like inequality problem
Banach spaces
Pseudoinvex functions
ISSN:0898-1221, 1873-7668
Online Access:Get full text
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Summary: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].
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2007.08.028