Optimization theory for set functions in nondifferentiable fractional programming with mixed type duality (Q1012949)
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scientific article; zbMATH DE number 5548650
| Language | Label | Description | Also known as |
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| English | Optimization theory for set functions in nondifferentiable fractional programming with mixed type duality |
scientific article; zbMATH DE number 5548650 |
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Optimization theory for set functions in nondifferentiable fractional programming with mixed type duality (English)
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28 April 2009
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The authors consider a minimax fractional programming problem involving subdifferentiable set functions. A dual model of mixed type is introduced which contains the Wolfe type dual and the Mond-Weir type dual as its special cases. The weak, strong and strict converse duality theorems are established under certain generalized convexity hypotheses.
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duality theorems
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subdifferentiable set functions
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convex set functions
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generalized convex set functions
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convex family of measurable sets
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