An existence result for quasi-equilibrium problems via Ekeland's variational principle

John Cotrina , Michel Théra (1, 2) , Javier Zúñiga

1 DMI
2 Federation University Australia Ballarat

This paper deals with the existence of solutions to equilibrium and quasi-equilibrium problems without any convexity assumption. Coverage includes some equivalences to the Ekeland variational principle for bifunctions and basic facts about transfer lower continuity. An application is given to systems of quasi-equilibrium problems

Mots clés: Quasi-equilibrium problem; System of quasi-equilibrium problem; Ekeland variational principle; Transfer lower continuity

Domaines: Optimisation et contrôle [math.OC]

John Cotrina, Michel Théra, Javier Zúñiga. An existence result for quasi-equilibrium problems via Ekeland's variational principle. 2020. ⟨hal-02650953v2⟩