Well-Posedness and Scalarization in Vector Optimization

E. Miglierina, E. Molho and M. Rocca
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E. Miglierina: Università dell’Insubria
E. Molho: Università di Pavia
M. Rocca: Università dell’Insubria

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 2, No 10, 409 pages

Abstract: 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.

Keywords: Well-posedness; vector optimization problems; nonlinear scalarization; generalized convexity (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (27)

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DOI: 10.1007/s10957-005-4723-1

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