Scalarization and Stability in Vector Optimization

E. Miglierina and E. Molho
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E. Miglierina: Università dell'Insubria
E. Molho: Università di Pavia

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 3, No 8, 657-670

Abstract: Abstract A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.

Keywords: vector optimization; scalarization; set convergence; well-posedness (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (22)

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DOI: 10.1023/A:1016031214488

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