Scalarization and stability in vector optimization

Authors:
E. Miglierina;E. Molho
Affiliations:
Research Fellow, Universit dell'Insubria, Dipartimento di Economia, Varese, Italy;Associate Professor, università de Pavia, Dipartimento di Ricerche Aziendali, Pavia, Italy
Venue:
Journal of Optimization Theory and Applications
Year:
2002

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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.