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

Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces. (English) Zbl 1138.49010

Comput. Math. Appl. 55, No. 8, 1808-1814 (2008).
Summary: 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 G. Ruiz-Garzón, R. Osuna-Gómez and A. Rufián-Lizana [Eur. J. Oper. Res. 157, No. 1, 113–119 (2004; Zbl 1106.90060)].

Cited in 9 Documents

MSC:

49J40 Variational inequalities
90C26 Nonconvex programming, global optimization

Keywords:

vectorial optimization problem; variational-like inequality problem; weak efficiency; Banach spaces; pseudoinvex functions

Citations:

Zbl 1106.90060
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\textit{L. Batista Dos Santos} et al., Comput. Math. Appl. 55, No. 8, 1808--1814 (2008; Zbl 1138.49010)
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