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Vectorization in Set Optimization

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Abstract

In analogy to the scalarization principle in vector optimization, this paper presents a new vectorization approach for set optimization problems. Vectorization means the replacement of a set optimization problem by a suitable vector optimization problem. This approach is developed for the set less order relation used by Kuroiwa and the minmax less order relation introduced by Ha and Jahn.

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Authors and Affiliations

  1. Department Mathematik, Universität Erlangen-Nürnberg, Cauerstr. 11, 91058, Erlangen, Germany

    Johannes Jahn

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  1. Johannes Jahn
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Correspondence to Johannes Jahn.

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Jahn, J. Vectorization in Set Optimization. J Optim Theory Appl 167, 783–795 (2015). https://doi.org/10.1007/s10957-013-0363-z

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  • DOI: https://doi.org/10.1007/s10957-013-0363-z

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