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Well-posedness and scalarization in vector optimization

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Author Info
Miglierina Enrico () (Department of Economics, University of Insubria, Italy)
Molho Elena () (University of Pavia, Italy)
Rocca Matteo () (Department of Economics, University of Insubria, Italy)
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.

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File URL: http://eco.uninsubria.it/dipeco/Quaderni/files/QF2004_7.pdf
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Publisher Info
Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0403.

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Length: 21 pages
Date of creation: Mar 2004
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Handle: RePEc:ins:quaeco:qf0403

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Related research
Keywords: well-posedness; vector optimization problems; nonlinear scalarization; generalized convexity.;

References listed on IDEAS
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  1. Loridan, P. & Morgan, J. & Raucci, R., 1997. "Convergence of Minimal and Approximate Minimal Elements of Sets in Partially Ordered Vector Spaces," Papiers d'Economie Mathématique et Applications 97.94, Université Panthéon-Sorbonne (Paris 1).
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Crespi Giovanni P. & Ginchev Ivan & Rocca Matteo, 2004. "Increase-along-rays property for vector functions," Economics and Quantitative Methods qf04015, Department of Economics, University of Insubria. [Downloadable!]
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This page was last updated on 2009-11-27.


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