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Linear variational principle for convex vector maximization

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Abstract

For infinitely dimensional convex vector maximization problems, it is proved that there exists, under certain conditions, an arbitrarily small additive perturbation of the performance criterion by a linear continuous operator such that the perturbed problem has efficient solutions.

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Authors and Affiliations

  1. Taras Shevchenko National University, Kyiv, Ukraine

    V. V. Semenov

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  1. V. V. Semenov
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Additional information

The study was sponsored by the Ukrainian State Fund for Basic Research

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 105–114, March–April 2007.

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Semenov, V.V. Linear variational principle for convex vector maximization. Cybern Syst Anal 43, 246–252 (2007). https://doi.org/10.1007/s10559-007-0043-9

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  • DOI: https://doi.org/10.1007/s10559-007-0043-9

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