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. We discuss the relation of our results with others from the literature.
Nota bibliográficaFunding Information:
This work was partially supported by Cienciactiva-Concytec EE020, MATH Amsud No. 003-2017, CONICYT No. 1190012, Proyecto/Grant PIA AFB-170001, MICIU of Spain and Universidad de Alicante (Grant Beatriz Galindo BEA- GAL 18/00205), CONICYTPFCHA/ Doctorado Nacional/2018-21180645, and PGMO project of FMJH. We would like to thank the reviewers for their valuable comments and suggestions which have improved the paper.
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- Coerciveness condition
- generalized convexity
- generalized monotonicity
- quasi-equilibrium problems