In this article, we consider equivalence properties between various kinds of lexicographic variational inequalities. By employing various concepts of monotonicity, we show that the usual sequential variational inequality is equivalent to the direct lexicographic variational inequality or to the dual lexicographic variational inequality. We establish several existence results for lexicographic variational inequalities. Also, we introduce the lexicographic complementarity problem and establish its equivalence with the lexicographic variational inequality. We illustrate our approach by several examples of applications to vector transportation and vector spatial equilibrium problems.

Bianchi, M., Konnov, I., Pini, R., Lexicographic variational inequalities with applications, <<OPTIMIZATION>>, 2007; (N/A): 355-367. [doi:10.1080/02331930600819704] [http://hdl.handle.net/10807/35747]

Lexicographic variational inequalities with applications

Bianchi, Monica;Pini, Rita
2007

Abstract

In this article, we consider equivalence properties between various kinds of lexicographic variational inequalities. By employing various concepts of monotonicity, we show that the usual sequential variational inequality is equivalent to the direct lexicographic variational inequality or to the dual lexicographic variational inequality. We establish several existence results for lexicographic variational inequalities. Also, we introduce the lexicographic complementarity problem and establish its equivalence with the lexicographic variational inequality. We illustrate our approach by several examples of applications to vector transportation and vector spatial equilibrium problems.
2007
Inglese
Bianchi, M., Konnov, I., Pini, R., Lexicographic variational inequalities with applications, <<OPTIMIZATION>>, 2007; (N/A): 355-367. [doi:10.1080/02331930600819704] [http://hdl.handle.net/10807/35747]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/35747
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 13
social impact