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On sufficient second order optimality conditions in multiobjective optimization

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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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Authors and Affiliations

  1. Dipartimento di Informatica, Università di Pisa, Largo B.Pontecorvo, 3, 56127, Pisa, Italia

    Giancarlo Bigi

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  1. Giancarlo Bigi
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Correspondence to Giancarlo Bigi.

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Bigi, G. On sufficient second order optimality conditions in multiobjective optimization. Math Meth Oper Res 63, 77–85 (2006). https://doi.org/10.1007/s00186-005-0013-9

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  • DOI: https://doi.org/10.1007/s00186-005-0013-9

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