1. A vectorization for nonconvex set-valued optimization.
- Author
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KARAMAN, Emrah, ATASEVER GÜVENÇ, İlknur, SOYERTEM, Mustafa, TOZKAN, Didem, KÜÇÜK, Mahide, and KÜÇÜK, Yalçın
- Subjects
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VECTOR fields , *MATHEMATICAL optimization , *CONVEX domains , *MATHEMATICAL analysis , *MATHEMATICS - Abstract
Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of the Gerstewitz function, a vectorizing function is defined to replace a given set-valued optimization problem with respect to the set less order relation. Some properties of this function are studied. Moreover, relationships between a set-valued optimization problem and a vector optimization problem, derived via vectorization of this set-valued optimization problem, are examined. Furthermore, necessary and sufficient optimality conditions are presented without any convexity assumption. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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