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Duality with BF-type I functions for a class of nondifferentiable multiobjective variational problems. - MaRDI portal

Duality with BF-type I functions for a class of nondifferentiable multiobjective variational problems. (Q1417976)

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scientific article; zbMATH DE number 2022066
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Duality with BF-type I functions for a class of nondifferentiable multiobjective variational problems.
scientific article; zbMATH DE number 2022066

    Statements

    Duality with BF-type I functions for a class of nondifferentiable multiobjective variational problems. (English)
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    6 January 2004
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    The authors introduce a generalization of convexity, the so-called BF-type I functions for the continuous case. They develop optimality and duality results for multiobjective variational problems involving arbitrary norms in the objectives as well as in the constraints. Sufficient conditions for both efficiency and proper efficiency are presented.
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    generalized type I functions
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    continuous F-invex functions
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    variational problems
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    proper efficiency
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    duality
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