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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Vydáno v:	Computers & mathematics with applications (1987) Ročník 55; číslo 8; s. 1808 - 1814
Hlavní autoři:	dos Santos, Lucelina Batista, Ruiz-Garzón, Gabriel, Rojas-Medar, Marko A., Rufián-Lizana, Antonio
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.04.2008
Témata:	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
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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].
AbstractList	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]. 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-Garzon et al. [G. Ruiz-Garzon, R. Osuna-Gomez, A. Rufian-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119]. 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-Garzon etal. [G. Ruiz-Garzon, R. Osuna-Gomez, A. Rufian-Lizana, Relationships between vector variational-like inequality and optimization problems, European J. Oper. Res. 157 (2004) 113-119].
Author	dos Santos, Lucelina Batista Ruiz-Garzón, Gabriel Rufián-Lizana, Antonio Rojas-Medar, Marko A.
Author_xml	– sequence: 1 givenname: Lucelina Batista surname: dos Santos fullname: dos Santos, Lucelina Batista email: lucelina@mat.ufpr.br organization: DM, Universidade Federal do Paraná, CP 19081, 81531-990, Curitiba-PR, Brazil – sequence: 2 givenname: Gabriel surname: Ruiz-Garzón fullname: Ruiz-Garzón, Gabriel email: gabriel.ruiz@uca.es organization: Departamento de Estadística e Investigación Operativa, Universidad de Cádiz, Facultad de Ciencias Sociales y de la Comunicación, Campus de Jerez de la Frontera, Cádiz, 11405, Spain – sequence: 3 givenname: Marko A. surname: Rojas-Medar fullname: Rojas-Medar, Marko A. email: marko@ueubiobio.cl organization: Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad de Bío-Bío, Campus Fernando May, Casilla 447, Chillán, Chile – sequence: 4 givenname: Antonio surname: Rufián-Lizana fullname: Rufián-Lizana, Antonio email: rufian@us.es organization: Departamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, Sevilla, 41012, Spain
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Cites_doi	10.1016/S0377-2217(03)00210-8 10.1007/BF00932801 10.1023/A:1022628130448 10.1016/S0377-2217(01)00393-9 10.1017/S0004972700002690 10.1016/j.na.2005.07.030 10.1023/A:1022647607947 10.1017/S0004972700023431 10.1007/BF01585753 10.1016/j.jmaa.2005.01.070 10.1007/BF01582255 10.1023/A:1022667201624
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Keywords	Vectorial optimization problem Weak efficiency Variational-like inequality problem Banach spaces Pseudoinvex functions
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SubjectTerms	Banach space Banach spaces Hypotheses Inequalities Mathematical analysis Mathematical models Optimization Pseudoinvex functions Variational-like inequality problem Vectorial optimization problem Vectors (mathematics) Weak efficiency
Title	Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
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