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Strict Minimality Conditions in Nondifferentiable Multiobjective Programming

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  • B. Jiménez

    (UNED)

Abstract

In this paper, sufficient conditions for superstrict minima of order m to nondifferentiable multiobjective optimization problems with an arbitrary feasible set are provided. These conditions are expressed through the Studniarski derivative of higher order. If the objective function is Hadamard differentiable, a characterization for strict minimality of order 1 (which coincides with superstrict minimality in this case) is obtained.

Suggested Citation

  • B. Jiménez, 2003. "Strict Minimality Conditions in Nondifferentiable Multiobjective Programming," Journal of Optimization Theory and Applications, Springer, vol. 116(1), pages 99-116, January.
    • Handle: RePEc:spr:joptap:v:116:y:2003:i:1:d:10.1023_a:1022162203161
    DOI: 10.1023/A:1022162203161
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