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On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization

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  • Frank Plastria

    (Prof. Em. BUTO, Vrije Universiteit Brussel)

Abstract

We investigate conditions under which the weakly efficient set for minimization of m objective functions on a closed and convex $$X\subset \mathbb R^d$$X⊂Rd ($$m>d$$m>d) is fully determined by the weakly efficient sets for all n-objective subsets for some $$n

Suggested Citation

  • Frank Plastria, 2020. "On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 547-564, February.
    • Handle: RePEc:spr:joptap:v:184:y:2020:i:2:d:10.1007_s10957-019-01608-6
    DOI: 10.1007/s10957-019-01608-6
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    References listed on IDEAS

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    7. A.M. Rodríguez-Chía & J. Puerto, 2002. "Geometrical Description of the Weakly Efficient Solution Set for Multicriteria Location Problems," Annals of Operations Research, Springer, vol. 111(1), pages 181-196, March.
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    Cited by:

    1. Alireza Kabgani, 2021. "Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion," Journal of Optimization Theory and Applications, Springer, vol. 189(2), pages 666-678, May.

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