In this article, we consider a parametric vector equilibrium problem in topological vector spaces, or metric spaces, if needed, defined as follows: given , find such that where the order in Y is defined by a suitable fixed cone C . We study the upper stability of the map of the solutions S = S (λ), providing results in the peculiar framework of generalized monotone functions. In the particular case of a single-valued solution map, we provide conditions for the Hölder regularity of S in both cases when K is fixed, and also when it depends on a parameter.
Bianchi, M., Pini, R., Sensitivity for parametric vector equilibria, <<OPTIMIZATION>>, 2006; (55): 221-230. [doi:10.1080/02331930600662732] [http://hdl.handle.net/10807/35748]
Autori: | |
Titolo: | Sensitivity for parametric vector equilibria |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/02331930600662732 |
Data di pubblicazione: | 2006 |
Abstract: | In this article, we consider a parametric vector equilibrium problem in topological vector spaces, or metric spaces, if needed, defined as follows: given , find such that where the order in Y is defined by a suitable fixed cone C . We study the upper stability of the map of the solutions S = S (λ), providing results in the peculiar framework of generalized monotone functions. In the particular case of a single-valued solution map, we provide conditions for the Hölder regularity of S in both cases when K is fixed, and also when it depends on a parameter. |
Lingua: | Inglese |
Rivista: | |
Citazione: | Bianchi, M., Pini, R., Sensitivity for parametric vector equilibria, <<OPTIMIZATION>>, 2006; (55): 221-230. [doi:10.1080/02331930600662732] [http://hdl.handle.net/10807/35748] |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |