Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation
Optimization and Control
2026-05-29 v1
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.
Cite
@article{arxiv.2605.30286,
title = {Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation},
author = {Paul Schmölling and Christian Günther and Christiane Tammer and Elisabeth Köbis},
journal= {arXiv preprint arXiv:2605.30286},
year = {2026}
}