Linear variational principle for convex vector maximization

Authors:
V. V. Semenov
Affiliations:
Taras Shevchenko National University, Kyiv, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2007

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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.