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In the present paper we propose the definition of the criticality for vectorvalued functions based on the concept of quasi-relative interior. This allows to make the concept of criticality operational for vector optimization problems where the interior of the order generating cone has empty interior. Basing on the introduced concept we prove necessary optimality conditions for closed convex pointed cones and cone-convex vector-valued functions as well as for closed convex pointed generating cones and general directionally differentiable vector-valued mappings.
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Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
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