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Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation

Year: 2026

Type: preprint

Abstract: In this paper, we are dealing with constrained vector optimisation problems where the objective function acts between real linear-topological spaces. Our aim is to study the relationships between the sets of properly efficient solutions to constrained and unconstrained vector optimisation problems under certain cone convexity assumptions on the objective function using a vectorial penalisation approach.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.30286

Authors: Schmölling, Paul, Günther, Christian, Tammer, Christiane, Köbis, Elisabeth

Institutions: Norwegian University of Science and Technology, Leibniz University Hannover, Martin Luther University Halle-Wittenberg

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162754530

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