Well-posedness in vector optimization and scalarization results

Rocca Matteo () and Papalia Melania ()
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Rocca Matteo: Department of Economics, University of Insubria, Italy
Papalia Melania: Department of Economics, University of Insubria, Italy

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

Abstract: In this paper, we give a survey on well-posedness notions of Tykhonov's type for vector optimization problems and the links between them with respect to the classification proposed by Miglierina, Molho and Rocca. We consider also the notions of extended well-posedness introduced by X.X. Huang in the nonparametric case to complete the hierchical structure characterizing these concepts. Finally we propose a review of some theoretical results in vector optimization mainly related to different notions of scalarizing functions, linear and nonlinear, introduced in the last decades, to simplify the study of various well-posedness properties.

Pages: 25 pages
Date: 2008-07
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Persistent link: https://EconPapers.repec.org/RePEc:ins:quaeco:qf0807

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