Abstract
In this paper, we give counterexamples showing that the strong duality results obtained in Refs. 1–5 for several dual problems of multiobjective mathematical programs are false. We provide also the conditions under which correct results can be established.
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Communicated by T. Rapcsák
This research was supported by the Brain Korea 21 Project in 2003. The authors thank the referees for valuable remarks.
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Sach, P.H., Kim, D.S. & Lee, G.M. Strong Duality for Proper Efficiency in Vector Optimization. J Optim Theory Appl 130, 139–151 (2006). https://doi.org/10.1007/s10957-006-9094-8
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DOI: https://doi.org/10.1007/s10957-006-9094-8