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Characterizations of the Set Less Order Relation in Nonconvex Set Optimization

Jahn J (2022)

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Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1007/s10957-021-01985-x

Abstract

For nonconvex set optimization problems based on the set less order relation, this paper presents characterizations of optimal sets and gives necessary conditions for set inequalities and non-optimal sets using directional derivatives. For specific order cones, the directional derivatives of known functionals describing the negative cones are also given.

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How to cite

APA:

Jahn, J. (2022). Characterizations of the Set Less Order Relation in Nonconvex Set Optimization. Journal of Optimization Theory and Applications. https://dx.doi.org/10.1007/s10957-021-01985-x

MLA:

Jahn, Johannes. "Characterizations of the Set Less Order Relation in Nonconvex Set Optimization." Journal of Optimization Theory and Applications (2022).

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