On the reciprocal vector optimization problems |
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Authors: | P Favati M Pappalardo |
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Institution: | (1) Istituto di Elaborazione dell'Informatione, CNR, Pisa, Italy;(2) Department of Mathematics, University of Pisa, Pisa, Italy |
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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. |
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Keywords: | Vector optimization reciprocity Pareto optimality lexicographic order theorems of the alternative |
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