Set optimization - a rather short introduction
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2014
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866913207705141248 |
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| author | Hamel, Andreas H. Heyde, Frank Löhne, Andreas Rudloff, Birgit Schrage, Carola |
| author_facet | Hamel, Andreas H. Heyde, Frank Löhne, Andreas Rudloff, Birgit Schrage, Carola |
| contents | Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1404_5928 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Set optimization - a rather short introduction Hamel, Andreas H. Heyde, Frank Löhne, Andreas Rudloff, Birgit Schrage, Carola Optimization and Control 06B23, 49N10, 52A41, 90C29, 90C46, 90C48, 91B30 Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems. |
| title | Set optimization - a rather short introduction |
| topic | Optimization and Control 06B23, 49N10, 52A41, 90C29, 90C46, 90C48, 91B30 |
| url | https://arxiv.org/abs/1404.5928 |