Abstract
We introduce and study two notions of well-posedness for vector equilibrium
problems in topological vector spaces; they arise from the well-posedness
concepts previously introduced by the same authors in the scalar case, and provide
an extension of similar definitions for vector optimization problems. The first notion
is linked to the behaviour of suitable maximizing sequences, while the second one is
defined in terms of Hausdorff convergence of the map of approximate solutions. In
this paper we compare them, and, in a concave setting, we give sufficient conditions
on the data in order to guarantee well-posedness. Our results extend similar results
established for vector optimization problems known in the literature.
Lingua originale | English |
---|---|
pagine (da-a) | 171-182 |
Numero di pagine | 12 |
Rivista | Mathematical Methods of Operations Research |
Volume | 70 |
DOI | |
Stato di pubblicazione | Pubblicato - 2009 |
Keywords
- Well-posedness
- approximate solutions
- vector equilibrium problems