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
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ISSN:0898-1221, 1873-7668
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Shrnutí: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