Abstract
Under study are some vector optimization problems over the space of Minkowski balls, i.e., symmetric convex compact subsets in Euclidean space. A typical problem requires to achieve the best result in the presence of conflicting goals; e.g., given the surface area of a symmetric convex body \(\mathfrak{x}\), we try to maximize the volume of \(\mathfrak{x}\) and minimize the width of \(\mathfrak{x}\) simultaneously.
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Kutateladze, S.S. Multiple criteria problems over Minkowski balls. J. Appl. Ind. Math. 7, 209–214 (2013). https://doi.org/10.1134/S1990478913020099
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DOI: https://doi.org/10.1134/S1990478913020099