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Images and Existence of Constrained Scalar and Vector Extrema

Author

Listed:
  • Carla Antoni

    (Naval Academy)

  • Franco Giannessi

    (University of Pisa)

Abstract

By means of the image space analysis, a necessary and sufficient condition is established for the existence of vector extrema. In the scalar case, the sufficient part is shown to shrink to a known one.

Suggested Citation

  • Carla Antoni & Franco Giannessi, 2018. "Images and Existence of Constrained Scalar and Vector Extrema," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 865-888, June.
    • Handle: RePEc:spr:joptap:v:177:y:2018:i:3:d:10.1007_s10957-018-1263-z
    DOI: 10.1007/s10957-018-1263-z
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    References listed on IDEAS

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    1. 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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    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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