Well-posedness and scalarization in vector optimization

Miglierina Enrico, Molho Elena () and Rocca Matteo ()
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Miglierina Enrico: Department of Economics, University of Insubria, Italy
Molho Elena: University of Pavia, Italy
Rocca Matteo: Department of Economics, University of Insubria, Italy

Economics and Quantitative Methods from Department of Economics, University of Insubria

Abstract: In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish 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.

Keywords: well-posedness; vector optimization problems; nonlinear scalarization; generalized convexity. (search for similar items in EconPapers)
Pages: 21 pages
Date: 2004-03
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:ins:quaeco:qf0403

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