Quasimonotone Quasivariational Inequalities: Existence Results and Applications

D. Aussel, J. Cotrina

Research output: Contribution to journalArticle in a journalpeer-review

38 Scopus citations


A quasivariational inequality is a variational inequality in which the constraint set depends on the variable. Based on fixed point techniques, we prove various existence results under weak assumptions on the set-valued operator defining the quasivariational inequality, namely quasimonotonicity and lower or upper sign-continuity. Applications to quasi-optimization and traffic network are also considered.
Original languageEnglish
Pages (from-to)637-652
Number of pages16
JournalJournal of Optimization Theory and Applications
Issue number3
StatePublished - 1 Sep 2013
Externally publishedYes


  • Quasi-optimization
  • Quasimonotone operator
  • Quasivariational inequality
  • Traffic network


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