Optimization problems for set functions (Q5954794)
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scientific article; zbMATH DE number 1702005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimization problems for set functions |
scientific article; zbMATH DE number 1702005 |
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Optimization problems for set functions (English)
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5 February 2002
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Summary: This paper gives the formal definition of a class of optimization problems, that is, problems of finding conditional extrema of given set-measurable functions. It also formulates the generalization of Lyapunov convexity theorem which is used in the proof of first order optimality conditions for the mentioned class of optimization problems.
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conditional extrema of set functions
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set-measurable functions
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Lyapunov convexity theorem
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first order optimality conditions
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