Characterizations of the Set Less Order Relation in Nonconvex Set Optimization

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Journal of Optimization Theory and Applications, 2022, vol. 193, issue 1, No 23, 523-544

Abstract: 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.

Keywords: Set less order relation; Set optimization; Necessary conditions; 90C48; 90C47; 90C29 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-021-01985-x

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