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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.
Well-posedness and scalarization in vector optimization / Molho, Elena; Miglierina, Enrico; Rocca, Matteo. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 126:2(2005), pp. 391-409.
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| Titolo: | Well-posedness and scalarization in vector optimization |
| Autori: | |
| Data di pubblicazione: | 2005 |
| Rivista: | |
| Citazione: | Well-posedness and scalarization in vector optimization / Molho, Elena; Miglierina, Enrico; Rocca, Matteo. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 126:2(2005), pp. 391-409. |
| 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. |
| Handle: | http://hdl.handle.net/11571/23374 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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