5 citations · 11 across the 11 of their papers we have counts for
7 papers · 1 filter
Existence and uniqueness of maximal elements for preference relations: Variational approach
Orestes Bueno, John Cotrina, Yboon García
In this work, we reformulate the problem of existence of maximal elements for preference relations as a variational inequality problem in the sense of Stampacchia. Similarly, we es…
Generalized Ordinal Nash Games: Variational Approach
Orestes Bueno, John Cotrina, Yboon García
It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study…
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…
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…
Remarks on -monotone operators
Orestes Bueno, John Cotrina
In this paper, we deal with three aspects of -monotone operators. First we study -monotone operators with a unique maximal extension (called pre-maximal), and with convex gra…
The Pseudomonotone Polar for Multivalued Operators
Orestes Bueno, John Cotrina
In this work, we study the pseudomonotonicity of multivalued operators from the point of view of polarity, in an analogous way as the well-known monotone polar due to Martínez-Lega…
On maximality of quasimonotone operators
Orestes Bueno, John Cotrina
We introduce the notion of quasimonotone polar of a multivalued operator, in a similar way as the well-known monotone polar due to Martinez-Legaz and Svaiter. We first recover seve…