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

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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.

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Acknowledgements

Farid Bozorgnia was supported by the Portuguese National Science Foundation through FCT fellowship SFRH/BPD/33962/2009. The authors are very grateful to anonymous referees for carefully reading their manuscript and for several comments and suggestions which helped them to improve the paper.

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Correspondence to Allahkaram Shafie.

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Radu Ioan Bot.

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Shafie, A., Bozorgnia, F. A Note on the Paper “Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps”. J Optim Theory Appl 182, 837–849 (2019). https://doi.org/10.1007/s10957-019-01530-x

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  • DOI: https://doi.org/10.1007/s10957-019-01530-x

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