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Scalarization in Geometric and Functional Vector Optimization Revisited

Author

Listed:
  • Marius Durea

    (“Al.I. Cuza” University)

  • Radu Strugariu

    (“Gh. Asachi” Technical University)

  • Christiane Tammer

    (Martin-Luther-Universität Halle-Wittenberg)

Abstract

The aim of this paper is to provide a survey of some recent results in the field of optimality conditions in vector optimization with geometric and inequality/equality constraints. Moreover, the discussion we initiate leads us to consider new situations which were not previously studied.

Suggested Citation

  • Marius Durea & Radu Strugariu & Christiane Tammer, 2013. "Scalarization in Geometric and Functional Vector Optimization Revisited," Journal of Optimization Theory and Applications, Springer, vol. 159(3), pages 635-655, December.
    • Handle: RePEc:spr:joptap:v:159:y:2013:i:3:d:10.1007_s10957-013-0360-2
    DOI: 10.1007/s10957-013-0360-2
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    References listed on IDEAS

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    1. Joydeep Dutta & Christiane Tammer, 2006. "Lagrangian conditions for vector optimization in Banach spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 521-540, December.
    2. N. J. Huang & J. Li & S. Y. Wu, 2009. "Optimality Conditions for Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 323-342, August.
    3. J. B. Hiriart-Urruty, 1979. "Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces," Mathematics of Operations Research, INFORMS, vol. 4(1), pages 79-97, February.
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    Citations

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    Cited by:

    1. Vu Anh Tuan & Christiane Tammer & Constantin Zălinescu, 2016. "The Lipschitzianity of convex vector and set-valued functions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(1), pages 273-299, April.
    2. Mounir El Maghri & Youssef Elboulqe, 2018. "Reduced Jacobian Method," Journal of Optimization Theory and Applications, Springer, vol. 179(3), pages 917-943, December.

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