Some properties of sets, functions, and multi-objective optimization problems using p-convexity
Abstract
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 analyse 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.
Fields of Study & Subjects
Optimization and Variational Analysis
Risk and Portfolio Optimization
Topology Optimization in Engineering
Publication details
- Journal / source
- Optimization
- Publisher
- Informa UK Limited
- Pages
- 1–18
- Publication date
- 30 June 2026
- Language
- EN