On sufficient second order optimality conditions in multiobjective optimization |
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Authors: | Giancarlo Bigi |
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Affiliation: | (1) Dipartimento di Informatica, Università di Pisa, Largo B.Pontecorvo, 3, 56127 Pisa, Italia |
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Abstract: | A second order sufficient optimality criterion is presented for a multiobjective problem subject to a constraint given just as a set. To this aim, we first refine known necessary conditions in such a way that the sufficient ones differ by the replacement of inequalities by strict inequalities. Furthermore, we show that no relationship holds between this criterion and a sufficient multipliers rule, when the constraint is described by inequalities and equalities. Finally, improvements of this criterion for the unconstrained case are presented, stressing the differences with single-objective optimization |
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Keywords: | Second order contingent sets Sufficient optimality criteria |
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