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.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10281/1945
Citazione: | Bianchi, M., Konnov, I., & Pini, R. (2007). Lexicographic variational inequalities with applications. OPTIMIZATION, 56(3), 355-367. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Titolo: | Lexicographic variational inequalities with applications |
Autori: | Bianchi, M; Konnov, I; Pini, R |
Autori: | |
Data di pubblicazione: | 2007 |
Lingua: | English |
Rivista: | OPTIMIZATION |
Digital Object Identifier (DOI): | 10.1080/02331930600819704 |
Appare nelle tipologie: | 01 - Articolo su rivista |
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