Abstract
In this paper, a known scalarization result of vector optimization theory is reviewed and stated in a different form and a new short proof is presented. Moreover, it is shown how to apply this result to multi-objective optimization problems and to special problems in statistics and optimal control theory.
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Communicated by P. L. Yu
The author is grateful to Professor H. Schellhaas and T. Staib for helpful discussions on this subject and to a referee for pointing out an error in an earlier version of this paper.
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Jahn, J. Parametric approximation problems arising in vector optimization. J Optim Theory Appl 54, 503–516 (1987). https://doi.org/10.1007/BF00940199
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DOI: https://doi.org/10.1007/BF00940199