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Separation functions and optimality conditions in vector optimization - MaRDI portal

Separation functions and optimality conditions in vector optimization (Q1686672)

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scientific article; zbMATH DE number 6819197
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Separation functions and optimality conditions in vector optimization
scientific article; zbMATH DE number 6819197

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    Separation functions and optimality conditions in vector optimization (English)
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    15 December 2017
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    The authors consider a constrained vector optimization problem with nonconvex data. They introduce a class of nonconvex separation functions and use them to establish a relationship between efficient/weakly efficient solutions of the problem and associated Lagrangian functions. They derive also Karush-Kuhn-Tucker conditions for the problem when the data are Lipschitz continuous.
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    nonlinear separation
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    saddle points
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    Karush-Kuhn-Tucker condition
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    Lagrangian function
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