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Unified duality theory for constrained extremum problems. I: Image space analysis - MaRDI portal

Unified duality theory for constrained extremum problems. I: Image space analysis (Q398642)

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scientific article; zbMATH DE number 6330865
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Unified duality theory for constrained extremum problems. I: Image space analysis
scientific article; zbMATH DE number 6330865

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    Unified duality theory for constrained extremum problems. I: Image space analysis (English)
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    15 August 2014
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    In this paper, a unified duality scheme is proposed for constrained extremum problems by applying image space analysis. Furthermore, it is shown that the existence of a regular weak separation in the image space is necessary and sufficient for the zero duality gap property. Finally, some equivalent conditions are considered for the zero duality gap property.
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    image space analysis
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    constrained extremum problem
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    separation function
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    Lagrange-type duality
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    perturbation function
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