Quasi-equilibrium problems with non-self constraint map

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Abstract

In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for Nash equilibria. The purpose of this work is to study the same concept of solution, but for quasi-equilibrium problems. Our results recover several existence theorems for quasi-equilibrium problems in the literature. Additionally, we show the existence of projected solutions for quasi-optimization problems, quasi-variational inequality problems, and generalized Nash equilibrium problems.
Original languageEnglish
Pages (from-to)177-197
Number of pages21
JournalJournal of Global Optimization
Volume75
Issue number1
DOIs
StatePublished - 1 Sep 2019

Bibliographical note

Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

Keywords

  • Generalized Nash equilibrium
  • Generalized monotonicity
  • Quasi-equilibrium problem
  • Quasi-optimization problem
  • Quasi-variational inequality

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