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Research PaperResearchia:202605.31014

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

Paul Schmölling

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:2605.30286v1 - http://arxiv.org/abs/2605.30286v1 PDF: https://arxiv.org/pdf...

Submitted: May 31, 2026Subjects: Mathematics; Mathematics

Description / Details

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:2605.30286v1 - http://arxiv.org/abs/2605.30286v1 PDF: https://arxiv.org/pdf/2605.30286v1 Original Link: http://arxiv.org/abs/2605.30286v1

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Date:
May 31, 2026
Topic:
Mathematics
Area:
Mathematics
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