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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Communicated by I. Galligani
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Favati, P., Pappalardo, M. On the reciprocal vector optimization problems. J Optim Theory Appl 47, 181–193 (1985). https://doi.org/10.1007/BF00940768
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DOI: https://doi.org/10.1007/BF00940768