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 language | English |
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Type | Proyecto experimental |
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State | Published - 25 Jan 2019 |
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- Coerciveness condition
- Generalized convexity
- Generalized monotonicity
- Quasi-equilibrium problem