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EnglishIn 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.
Miglierina, E., Molho, E., Rocca, M., Well-posedness and scalarization in vector optimization, <<JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS>>, 2005; 126 (2): 391-409. [doi:10.1007/s10957-005-4723-1] [http://dx.medra.org/10.1007/s10957-005-4723-1] [http://hdl.handle.net/10807/1826]
| Autori: | |
| Titolo: | Well-posedness and scalarization in vector optimization |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10957-005-4723-1 |
| URL: | http://www.springerlink.com/content/j471864n5p56ggl2/ |
| Data di pubblicazione: | 2005 |
| 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: | Inglese |
| Rivista: | |
| Citazione: | Miglierina, E., Molho, E., Rocca, M., Well-posedness and scalarization in vector optimization, <<JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS>>, 2005; 126 (2): 391-409. [doi:10.1007/s10957-005-4723-1] [http://dx.medra.org/10.1007/s10957-005-4723-1] [http://hdl.handle.net/10807/1826] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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