Some properties of sets, functions, and multi-objective optimization problems using p-convexity
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914464775798784 |
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| author | Vera, Cristian |
| author_facet | Vera, Cristian |
| contents | In this paper, we investigate the concept of p-convexity for sets and functions in n-dimensional Euclidean space. We establish novel algebraic and topological results within this generalized convexity framework. Furthermore, we analyze multi-objective optimization problems, with a particular emphasis on weakly efficient minima, under the assumption of $p$-convexity of the component functions. Several characterizations and properties of the corresponding solution sets are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09882 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some properties of sets, functions, and multi-objective optimization problems using p-convexity Vera, Cristian Optimization and Control In this paper, we investigate the concept of p-convexity for sets and functions in n-dimensional Euclidean space. We establish novel algebraic and topological results within this generalized convexity framework. Furthermore, we analyze multi-objective optimization problems, with a particular emphasis on weakly efficient minima, under the assumption of $p$-convexity of the component functions. Several characterizations and properties of the corresponding solution sets are derived. |
| title | Some properties of sets, functions, and multi-objective optimization problems using p-convexity |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2604.09882 |