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Strict Efficiency in Set Optimization Studied with the Set Approach

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  • Truong Xuan Duc Ha

    (Thanglong University)

Abstract

This paper is devoted to strict efficiency in set optimization studied with the set approach. Strict efficient solutions are defined with respect to the l-type less order relation and the possibly less order relation. Scalar characterization and necessary and/or sufficient conditions for such solutions are obtained. In particular, we establish some conditions expressed in terms of a high-order directional derivative of set-valued maps and the (convex or limiting) subdifferentials, normal cones and coderivatives. Various illustrating examples are presented.

Suggested Citation

  • Truong Xuan Duc Ha, 2025. "Strict Efficiency in Set Optimization Studied with the Set Approach," Journal of Optimization Theory and Applications, Springer, vol. 205(2), pages 1-20, May.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:2:d:10.1007_s10957-025-02617-4
    DOI: 10.1007/s10957-025-02617-4
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