Title: Old and new results on equilibrium and quasi-equilibrium problems

Speaker: Michel Théra (Professeur Emérite, Université de Limoges, France and Adjunct Professor Federation University Australia)

Dates and Time: June 17th, 2020, 17:00 AEST. (Register here for remote connection via Zoom)

Abstract: In this talk I will briefly survey some old results which are going back to Ky Fan and Brezis-Niremberg and Stampacchia.  Then I will give some new results related to 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.