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.

On the reciprocal vector optimization problems

Favati P;
1985

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.
1985
Istituto di informatica e telematica - IIT
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
vector optimization
reciprocity
paret
lexico-graphic order
theorems of the alternative
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/370925
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