Abstract
In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.
Lingua originale | English |
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pagine (da-a) | 391-409 |
Numero di pagine | 19 |
Rivista | Journal of Optimization Theory and Applications |
Volume | 126 |
DOI | |
Stato di pubblicazione | Pubblicato - 2005 |
Keywords
- Generalized convexity
- Nonlinear scalarization
- Vector optimization problems
- Well-posedness