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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.08454 |
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| _version_ | 1866910740158349312 |
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| author | Huong, Nguyen Thi Thu |
| author_facet | Huong, Nguyen Thi Thu |
| contents | This paper studies approximate solutions of a linear fractional vector optimization problem without requiring boundedness of the constraint set. We establish necessary and sufficient conditions for approximating weakly efficient points of such a problem via some properties of the objective function and a technical lemma related to the intersection of the topological closure of the cone generated by a subset of the Euclidean space and the interior of the negative orthant. As a consequence, we obtain necessary conditions and sufficient conditions for approximate efficient solutions to the considered problem. Applications of these results to linear vector optimization are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08454 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate Solutions in Linear Fractional Vector Optimization Huong, Nguyen Thi Thu Optimization and Control This paper studies approximate solutions of a linear fractional vector optimization problem without requiring boundedness of the constraint set. We establish necessary and sufficient conditions for approximating weakly efficient points of such a problem via some properties of the objective function and a technical lemma related to the intersection of the topological closure of the cone generated by a subset of the Euclidean space and the interior of the negative orthant. As a consequence, we obtain necessary conditions and sufficient conditions for approximate efficient solutions to the considered problem. Applications of these results to linear vector optimization are considered. |
| title | Approximate Solutions in Linear Fractional Vector Optimization |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2412.08454 |