Derivatives of the efficient point multifunction in parametric vector optimization problems (Q1949603)
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scientific article; zbMATH DE number 6161560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivatives of the efficient point multifunction in parametric vector optimization problems |
scientific article; zbMATH DE number 6161560 |
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Derivatives of the efficient point multifunction in parametric vector optimization problems (English)
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8 May 2013
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The \(S\)-derivative is used to study the sensitivity analysis of parametric vector optimization problems. The author establishes formulae for inner and outer evaluating the \(S\)-derivative of the efficient point multifunction of a vector optimization problem. These estimating formulae are presented via the set of efficient/weakly efficient points of the \(S\)-derivative of the original multifunction, a composite multifunction of the objective function and the constraint mapping. Some examples are provided.
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parametric vector optimization
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efficient point multifunction
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\(S\)-derivative
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semiinfinite optimization
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sensitivity analysis
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0.94211066
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0.9325642
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0.90735686
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0.8915963
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0.8863977
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0.8844325
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