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]

Sensitivity for parametric vector equilibria

Bianchi, Monica;Pini, Rita
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.
Inglese
Bianchi, M., Pini, R., Sensitivity for parametric vector equilibria, <>, 2006; (55): 221-230. [doi:10.1080/02331930600662732] [http://hdl.handle.net/10807/35748]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/35748
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