Coerciveness condition for quasi-equilibrium problems

John Cotrina, Abderrahim Hantoute, Anton Svensson

Research output: Other contributionpeer-review

Abstract

A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequalities and generalized Nash equilibrium problems. We study the existence of equilibria on unbounded sets under a coerciveness condition adapted from one specific for quasi-variational inequalities recently proposed by Aussel and Sultana. We discuss the relation of our results with others that are present in the literature. 49J40, 49J45, 54C60, 90C37
Original languageEnglish
TypeProyecto experimental
PublisherarXiv
StatePublished - 25 Jan 2019

Publication series

NamearXiv

Keywords

  • Coerciveness condition
  • Generalized convexity
  • Generalized monotonicity
  • Quasi-equilibrium problem

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