A Note on the Paper “Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps”

Allahkaram Shafie () and Farid Bozorgnia ()
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Allahkaram Shafie: Razi University
Farid Bozorgnia: University of Lisbon

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 2, No 18, 837-849

Abstract: Abstract In this work, some counterexamples are given to refute some results in the paper by Guo and Li (J Optim Theory Appl 162:821–844, 2014). We correct the faulty in some of their theorems, and we present alternative proofs. Moreover, we extend the definition of approximately pseudo-dissipative in the setting of metrizable topological vector spaces.

Keywords: Convex mapping; Optimality condition; Local weak minimal solution; Subdifferential; Pareto minimal point; 90C46; 65K10 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-019-01530-x

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