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Images, Fixed Points and Vector Extremum Problems

Author

Listed:
  • Carla Antoni

    (Naval Academy)

  • Mohammed Alshahrani

    (King Fahd University of Petroleum and Minerals)

Abstract

Based on recent results on image space analysis, the paper aims at describing a fixed point approach to vector optimization problems. Possible extensions to the bi-level vector optimization are discussed.

Suggested Citation

  • Carla Antoni & Mohammed Alshahrani, 2018. "Images, Fixed Points and Vector Extremum Problems," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 889-905, June.
    • Handle: RePEc:spr:joptap:v:177:y:2018:i:3:d:10.1007_s10957-017-1158-4
    DOI: 10.1007/s10957-017-1158-4
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    References listed on IDEAS

    as
    1. Joël Benoist & Nicolae Popovici, 2003. "Characterizations of convex and quasiconvex set-valued maps," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(3), pages 427-435, August.
    2. Carla Antoni & Franco Giannessi, 2014. "Some Remarks on Bi-level Vector Extremum Problems," Springer Optimization and Its Applications, in: Vladimir F. Demyanov & Panos M. Pardalos & Mikhail Batsyn (ed.), Constructive Nonsmooth Analysis and Related Topics, edition 127, pages 137-157, Springer.
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    Citations

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    Cited by:

    1. Franco Giannessi, 2018. "Some Perspectives on Vector Optimization via Image Space Analysis," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 906-912, June.

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