Lexicographic variational inequalities with applications

Monica Bianchi, Rita Pini, I. V. Konnov, R. Pini

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)355-367
Number of pages13
JournalOptimization
DOIs
Publication statusPublished - 2007

Keywords

  • lexicographic order
  • sequential problems
  • variational inequalities

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