On Second-Order Optimality Conditions for Vector Optimization: Addendum

Journal of Optimization Theory and Applications volume 188, pages597–602(2021)Cite this article

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.

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Acknowledgements

This work was partially supported by Southern National University (Grants UNS 24/L069 and 24/L082), Comahue National University (Grant E081/09), CNPq (Grant 304032/2010-7), FAPESP (Grant 2006-53768-0) and PRONEX-Optimization.

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Affiliations

  1. Department of Mathematics, Southern National University, Av. Alem 1253, 8000, Bahía Blanca, Argentina

    María C. Maciel

  2. Department of Applied Mathematics, State University of Campinas, 13083-970, Campinas, SP, Brazil

    Sandra A. Santos

  3. Department of Mathematics, Comahue National University, Santa Fe 1400, 8300, Neuquén, Argentina

    Graciela N. Sottosanto

Authors
  1. María C. Maciel
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  2. Sandra A. Santos
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  3. Graciela N. Sottosanto
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Corresponding author

Correspondence to Sandra A. Santos.

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Maciel, M.C., Santos, S.A. & Sottosanto, G.N. On Second-Order Optimality Conditions for Vector Optimization: Addendum. J Optim Theory Appl 188, 597–602 (2021). https://doi.org/10.1007/s10957-012-0029-2

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Keywords

  • Nonlinear vector optimization
  • Pareto points
  • Weak Pareto points
  • Constraint qualifications
  • Optimality conditions