On sufficient second order optimality
conditions in multiobjective optimization
Giancarlo Bigi
Summary
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 just 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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On sufficient second order optimality conditions in multiobjective optimization
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