Image space analysis and scalarization for \(\varepsilon \)-optimization of multifunctions (Q365659)
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scientific article; zbMATH DE number 6206974
| Language | Label | Description | Also known as |
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| English | Image space analysis and scalarization for \(\varepsilon \)-optimization of multifunctions |
scientific article; zbMATH DE number 6206974 |
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Image space analysis and scalarization for \(\varepsilon \)-optimization of multifunctions (English)
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9 September 2013
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The authors study the concept of \(\epsilon\)-efficient solutions of a vector optimization problem involving multifunction data which was introduced by \textit{C. Gutiérrez} et al. in [SIAM J. Optim. 17, No. 3, 688--710 (2006; Zbl 1119.49020)]. They establish some necessary and sufficient conditions for scalarization by means of positive functionals. The case when the objective multifunction is increasing-along-rays is also treated in which a condition for \(\epsilon\)-superefficient solutions is given.
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epsilon-efficient solution
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multifunction
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vector optimization
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