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.
Bibliographical noteFunding Information:
We wish to thank the referees and the associate editor for their helpful comments and suggestions. Research of M. Théra is supported by the Australian Research Council (ARC) Grant DP160100854 and benefited from the support of the FMJH Program PGMO and from the support of EDF.
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- Ekeland variational principle
- Quasi-equilibrium problem
- System of quasi-equilibrium problem
- Transfer lower continuity