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Title
A note on 'Higher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to duality' [Positivity. 18, 449-473(2014)].
The note points out that the sufficiency of proposition 2.1 in Anh (Positivity 18:449-473, ) is erroneous and we provide an example to illustrate it. Also the proof of proposition 2.2 in Anh (Positivity 18:449-473, ) is incorrect and we give a new proof.