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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09882 |
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Table of 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.