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Journal of Optimization Theory and Applications

, Volume 167, Issue 3, pp 783–795 | Cite as

Vectorization in Set Optimization

  • Johannes JahnEmail author
Article

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.

Keywords

Set optimization Order relations Scalarization Optimality conditions 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department MathematikUniversität Erlangen-NürnbergErlangenGermany

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