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

Author

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  • Allahkaram Shafie

    (Razi University)

  • Farid Bozorgnia

    (University of Lisbon)

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.

Suggested Citation

  • Allahkaram Shafie & Farid Bozorgnia, 2019. "A Note on the Paper “Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps”," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 837-849, August.
    • Handle: RePEc:spr:joptap:v:182:y:2019:i:2:d:10.1007_s10957-019-01530-x
    DOI: 10.1007/s10957-019-01530-x
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    References listed on IDEAS

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    1. X. L. Guo & S. J. Li, 2014. "Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 821-844, September.
    2. N. Gadhi & S. Dempe, 2012. "Necessary Optimality Conditions and a New Approach to Multiobjective Bilevel Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 100-114, October.
    3. Jean-Paul Penot, 2011. "The directional subdifferential of the difference of two convex functions," Journal of Global Optimization, Springer, vol. 49(3), pages 505-519, March.
    Full references (including those not matched with items on IDEAS)

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