5 citations · 11 across the 11 of their papers we have counts for
12 papers
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…
A new proof of the classification of Elliptic Foliations induced by real Quadratic Fields with center
Liliana Puchuri, Orestes Bueno
In this work, we give a new proof of the classification of the Lotka-Volterra and Reversible foliations, originally given by Gautier. This new proof, involves an unified technique…
Lower Limits of Type (D) Monotone Operators in general Banach Spaces
Orestes Bueno, Yboon García, Maicon Marques Alves
We give, for general Banach spaces, a characterization of the sequential lower limit of maximal monotone operators of type (D) and prove its representability. As a consequence, usi…
A non-type (D) linear isometry
O. Bueno, B. F. Svaiter
Previous constructions of non-type (D) maximal monotone operators were based on the non-type (D) operators introduced by Gossez, and the construction of such operators or the proof…
A non-type (D) operator in c0
Orestes Bueno, B. F. Svaiter
Previous examples of non-type (D) maximal monotone operators were restricted to , , and Banach spaces containing isometriccopies of these spaces. This fact led to the…
A maximal monotone operator of type (D) which maximal monotone extension to the bidual is not of type (D)
Orestes Bueno, B. F. Svaiter
We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator i…