On the optimality of differentiable nonconvex \(n\)-set functions (Q1206856)
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scientific article; zbMATH DE number 150599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the optimality of differentiable nonconvex \(n\)-set functions |
scientific article; zbMATH DE number 150599 |
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On the optimality of differentiable nonconvex \(n\)-set functions (English)
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1 April 1993
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Our main contribution is the extension of the concepts of quasiconvexity and pseudoconvexity to \(n\)-set functions. Some properties of differentiable nonconvex \(n\)-set functions are established. Necessary and sufficient conditions for the existence of an optimal solution of the nonconvex program with \(n\)-set functions are characterized by derivatives of the \(n\)-set function involved. A duality theorem for the nonconvex program with \(n\)-set functions is also developed in this paper.
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quasiconvexity
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pseudoconvexity
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\(n\)-set functions
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differentiable nonconvex \(n\)-set functions
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