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On the reciprocal vector optimization problems
Authors:P Favati  M Pappalardo
Institution:(1) Istituto di Elaborazione dell'Informatione, CNR, Pisa, Italy;(2) Department of Mathematics, University of Pisa, Pisa, Italy
Abstract:A necessary and sufficient condition is established for an optimal solution of a primal vector optimization problem to be an optimal solution of its reciprocal. Such a condition is developed and analyzed in the Pareto case, the strong case, and the lexicographic case. We detail these results for ordinary (i.e., scalar) optimization problems.
Keywords:Vector optimization  reciprocity  Pareto optimality  lexicographic order  theorems of the alternative
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