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On second-order sufficient optimality conditions for C¹ vector optimization problems

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arxiv 1808.02202 v1 pith:J7GTEDLD submitted 2018-08-07 math.OC

On second-order sufficient optimality conditions for $C^1$ vector optimization problems

classification math.OC
keywords conditionssecond-orderoptimizationproblemssufficientvectorauthorsconstraints
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abstract

In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of $C^1$ vector optimization problems with constraints. Our results improve and generalize conditions obtained by various authors in recent papers.

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