Scalarization and Stability in Vector Optimization |
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| Authors: | Miglierina E Molho E |
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| Institution: | (1) Dipartimento di Economia, Università dell'Insubria, Varese, Italy;(2) Dipartimento di Ricerche Aziendali, Università di Pavia, Pavia, Italy |
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| 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. |
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| Keywords: | vector optimization scalarization set convergence well-posedness |
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