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On Second-Order Optimality Conditions for Vector Optimization: Addendum

Author

Listed:
  • María C. Maciel

    (Southern National University)

  • Sandra A. Santos

    (State University of Campinas)

  • Graciela N. Sottosanto

    (Comahue National University)

Abstract

In this note we improve upon one of the main results of Maciel et al. (J. Optim. Theory Appl., 149:332–351, 2011) and complete the second-order optimality conditions for vector optimization with a feasible neighborhood second-order sufficiency theorem.

Suggested Citation

  • María C. Maciel & Sandra A. Santos & Graciela N. Sottosanto, 2021. "On Second-Order Optimality Conditions for Vector Optimization: Addendum," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 597-602, February.
    • Handle: RePEc:spr:joptap:v:188:y:2021:i:2:d:10.1007_s10957-012-0029-2
    DOI: 10.1007/s10957-012-0029-2
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    References listed on IDEAS

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    1. Giancarlo Bigi, 2006. "On sufficient second order optimality conditions in multiobjective optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 77-85, February.
    2. María C. Maciel & Sandra A. Santos & Graciela N. Sottosanto, 2011. "On Second-Order Optimality Conditions for Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 149(2), pages 332-351, May.
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