3 papers
math.OC2023
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…
math.OC2023
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…
math.FA2014
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…