The finite intersection property for equilibrium problems

John Cotrina, Anton Svensson

Research output: Contribution to journalArticle in a journalpeer-review

7 Scopus citations


The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.

Original languageEnglish
Pages (from-to)941-957
Number of pages17
JournalJournal of Global Optimization
Issue number4
Early online date29 Oct 2020
StatePublished - Apr 2021

Bibliographical note

Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Copyright 2020 Elsevier B.V., All rights reserved.


  • Finite intersection property
  • Generalized monotonicity
  • Generalized Nash equilibrium problem
  • Quasi-equilibrium problem
  • Set-valued map
  • Variational inequality


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