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ar X iv : 1 70 6 . 02 57 9 v 1 [ m at h . O C ] 8 J un 2 01 7 A Vectorization for Nonconvex Set-valued Optimization ∗
| Content Provider | Semantic Scholar |
|---|---|
| Author | Karaman, Emrah Güvenç, İlknur Atasever Soyertem, Mustafa Tozkan, Didem Küçük, Mahide Küçük, Yalçın |
| Copyright Year | 2017 |
| 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 Gerstewitz function [1], a vectorizing function is defined to replace a given set-valued optimization problem with respect to set less order relation. Some properties of this function are studied. Also, 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1706.02579 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
