2019/01/25 by Cotrina, John, Hantoute, Abderrahim, Svensson, Anton
#49J40 #49J45 #54C60 #90C37 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1901.09116
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.