Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911788694503424 |
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| author | Zeng, Renying |
| author_facet | Zeng, Renying |
| contents | In this article, we work with set-valued optimization problems in locally convex topological vector spaces. We prove the equivalencies of some definitions of generalized convex maps introduced by Jeyakumar, Yang, Yang & Yang & Chen, as well as Zeng. And then, we discuss the conditions of weakly efficient solutions, proper efficient solutions, and optimal solutions of set-valued optimization problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02101 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces Zeng, Renying Optimization and Control 90C26, 90C29, 90C48 In this article, we work with set-valued optimization problems in locally convex topological vector spaces. We prove the equivalencies of some definitions of generalized convex maps introduced by Jeyakumar, Yang, Yang & Yang & Chen, as well as Zeng. And then, we discuss the conditions of weakly efficient solutions, proper efficient solutions, and optimal solutions of set-valued optimization problems. |
| title | Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces |
| topic | Optimization and Control 90C26, 90C29, 90C48 |
| url | https://arxiv.org/abs/2403.02101 |