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A note on coupled constraint Nash games
Orestes Bueno, Carlos Calderon, John Cotrina
In this note we are interested in a relevant generalized Nash equilibrium problem, which was proposed by Rosen in 1965. An existence result is established in the general setting of…
Remarks on Pseudo-continuity
John Cotrina
In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequali…
Finite intersection property for bifunctions and existence for quasi-equilibrium problems
John Cotrina, Anton Svensson
The "finite intersection property" for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some results concerning existence of solu…
On the construction of maximal -cyclically monotone operators
Orestes Bueno, John Cotrina
In this paper we deal with the construction of explicit examples of maximal -cyclically monotone operators. To date, there is only one instance of an explicit example of a maxim…
Coerciveness condition for quasi-equilibrium problems
John Cotrina, Abderrahim Hantoute, Anton Svensson
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 inequ…
Quasi-Equilibrium Problems with Non-self Constraint Map
John Cotrina, Javier Zúñiga
In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for quasi-variational inequality problems and projected Nash equilibrium. We introduce a new concep…